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name="searchtype"><option value="all">All fields</option><option value="title">Title</option><option selected value="author">Author(s)</option><option value="abstract">Abstract</option><option value="comments">Comments</option><option value="journal_ref">Journal reference</option><option value="acm_class">ACM classification</option><option value="msc_class">MSC classification</option><option value="report_num">Report number</option><option value="paper_id">arXiv identifier</option><option value="doi">DOI</option><option value="orcid">ORCID</option><option value="license">License (URI)</option><option value="author_id">arXiv author ID</option><option value="help">Help pages</option><option value="full_text">Full text</option></select> <input id="query" name="query" type="text" value="He, J"> <ul id="abstracts"><li><input checked id="abstracts-0" name="abstracts" type="radio" value="show"> <label for="abstracts-0">Show abstracts</label></li><li><input id="abstracts-1" name="abstracts" type="radio" value="hide"> <label for="abstracts-1">Hide abstracts</label></li></ul> </div> <div class="box field is-grouped is-grouped-multiline level-item"> <div class="control"> <span class="select is-small"> <select id="size" name="size"><option value="25">25</option><option selected value="50">50</option><option value="100">100</option><option value="200">200</option></select> </span> <label for="size">results per page</label>. </div> <div class="control"> <label for="order">Sort results by</label> <span class="select is-small"> <select id="order" name="order"><option selected value="-announced_date_first">Announcement date (newest first)</option><option value="announced_date_first">Announcement date (oldest first)</option><option value="-submitted_date">Submission date (newest first)</option><option value="submitted_date">Submission date (oldest first)</option><option value="">Relevance</option></select> </span> </div> <div class="control"> <button class="button is-small is-link">Go</button> </div> </div> </form> </div> </div> <ol class="breathe-horizontal" start="1"> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2408.05910">arXiv:2408.05910</a> <span> [<a href="https://arxiv.org/pdf/2408.05910">pdf</a>, <a href="https://arxiv.org/format/2408.05910">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Systematic Uncertainties from Gribov Copies in Lattice Calculation of Parton Distributions in the Coulomb gauge </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jinchen He</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+R">Rui Zhang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2408.05910v1-abstract-short" style="display: inline;"> Recently, it has been proposed to compute parton distributions from boosted correlators fixed in the Coulomb gauge within the framework of Large-Momentum Effective Theory. This method does not involve Wilson lines and could greatly improve the efficiency and precision of lattice QCD calculations. However, there are concerns about whether the systematic uncertainties from Gribov copies, which corre… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.05910v1-abstract-full').style.display = 'inline'; document.getElementById('2408.05910v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2408.05910v1-abstract-full" style="display: none;"> Recently, it has been proposed to compute parton distributions from boosted correlators fixed in the Coulomb gauge within the framework of Large-Momentum Effective Theory. This method does not involve Wilson lines and could greatly improve the efficiency and precision of lattice QCD calculations. However, there are concerns about whether the systematic uncertainties from Gribov copies, which correspond to the ambiguity in lattice gauge-fixing, are under control. This work gives an assessment of the Gribov copies' effect in the Coulomb-gauge-fixed quark correlators. We utilize different strategies for the Coulomb-gauge fixing, selecting two different groups of Gribov copies based on the lattice gauge configurations. We test the difference in the resulted spatial quark correlators in the vacuum and a pion state. Our findings indicate that the statistical errors of the matrix elements from both Gribov copies, regardless of the correlation range, decrease proportionally to the square root of the number of gauge configurations. The difference between the strategies does not show statistical significance compared to the gauge noise. This demonstrates that the effect of the Gribov copies can be neglected in the practical lattice calculation of the quark parton distributions. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.05910v1-abstract-full').style.display = 'none'; document.getElementById('2408.05910v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 August, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2024. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2408.04674">arXiv:2408.04674</a> <span> [<a href="https://arxiv.org/pdf/2408.04674">pdf</a>, <a href="https://arxiv.org/format/2408.04674">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Comments on "Non-local Nucleon Matrix Elements in the Rest Frame" </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jinchen He</a>, <a href="/search/hep-lat?searchtype=author&query=Su%2C+Y">Yushan Su</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+R">Rui Zhang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2408.04674v1-abstract-short" style="display: inline;"> In a recent paper, "Non-local Nucleon Matrix Elements in the Rest Frame" (arXiv: 2407.16577), it was demonstrated that the next-to-leading order perturbative theory can describe, to a few percent accuracy, the lattice QCD static nucleon matrix elements of spatial correlators with separations up to 0.6~fm. We argue that perturbative QCD breaks down at such a distance scale after resumming the assoc… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.04674v1-abstract-full').style.display = 'inline'; document.getElementById('2408.04674v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2408.04674v1-abstract-full" style="display: none;"> In a recent paper, "Non-local Nucleon Matrix Elements in the Rest Frame" (arXiv: 2407.16577), it was demonstrated that the next-to-leading order perturbative theory can describe, to a few percent accuracy, the lattice QCD static nucleon matrix elements of spatial correlators with separations up to 0.6~fm. We argue that perturbative QCD breaks down at such a distance scale after resumming the associated large logarithms, while the ansatz used in the analysis there did not account for resummation or the leading renormalon, both of which significantly affect the convergence of perturbation theory. Besides, we provide an explanation why the ansatz appears to describe the lattice data despite the breakdown of perturbation theory at large distances. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.04674v1-abstract-full').style.display = 'none'; document.getElementById('2408.04674v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 7 August, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">3 pages, 3 figures; comment on arXiv:2407.16577</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2306.06488">arXiv:2306.06488</a> <span> [<a href="https://arxiv.org/pdf/2306.06488">pdf</a>, <a href="https://arxiv.org/format/2306.06488">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP08(2023)172">10.1007/JHEP08(2023)172 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Lattice Calculation of the Intrinsic Soft Function and the Collins-Soper Kernel </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Lattice+Parton+Collaboration"> Lattice Parton Collaboration</a>, <a href="/search/hep-lat?searchtype=author&query=Chu%2C+M">Min-Huan Chu</a>, <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jin-Chen He</a>, <a href="/search/hep-lat?searchtype=author&query=Hua%2C+J">Jun Hua</a>, <a href="/search/hep-lat?searchtype=author&query=Liang%2C+J">Jian Liang</a>, <a href="/search/hep-lat?searchtype=author&query=Ji%2C+X">Xiangdong Ji</a>, <a href="/search/hep-lat?searchtype=author&query=Sch%C3%A4fer%2C+A">Andreas Sch盲fer</a>, <a href="/search/hep-lat?searchtype=author&query=Shu%2C+H">Hai-Tao Shu</a>, <a href="/search/hep-lat?searchtype=author&query=Su%2C+Y">Yushan Su</a>, <a href="/search/hep-lat?searchtype=author&query=Walter%2C+L">Lisa Walter</a>, <a href="/search/hep-lat?searchtype=author&query=Wang%2C+W">Wei Wang</a>, <a href="/search/hep-lat?searchtype=author&query=Wang%2C+J">Ji-Hao Wang</a>, <a href="/search/hep-lat?searchtype=author&query=Yang%2C+Y">Yi-Bo Yang</a>, <a href="/search/hep-lat?searchtype=author&query=Zeng%2C+J">Jun Zeng</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+Q">Qi-An Zhang</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2306.06488v3-abstract-short" style="display: inline;"> We calculate the soft function using lattice QCD in the framework of large momentum effective theory incorporating the one-loop perturbative contributions. The soft function is a crucial ingredient in the lattice determination of light cone objects using transverse-momentum-dependent (TMD) factorization. It consists of a rapidity-independent part called intrinsic soft function and a rapidity-depen… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2306.06488v3-abstract-full').style.display = 'inline'; document.getElementById('2306.06488v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2306.06488v3-abstract-full" style="display: none;"> We calculate the soft function using lattice QCD in the framework of large momentum effective theory incorporating the one-loop perturbative contributions. The soft function is a crucial ingredient in the lattice determination of light cone objects using transverse-momentum-dependent (TMD) factorization. It consists of a rapidity-independent part called intrinsic soft function and a rapidity-dependent part called Collins-Soper kernel. We have adopted appropriate normalization when constructing the pseudo-scalar meson form factor that is needed in the determination of the intrinsic part and applied Fierz rearrangement to suppress the higher-twist effects. In the calculation of CS kernel we consider a CLS ensemble other than the MILC ensemble used in a previous study. We have also compared the applicability of determining the CS kernel using quasi TMDWFs and quasi TMDPDFs. As an example, the determined soft function is used to obtain the physical TMD wave functions (WFs) of pion and unpolarized iso-vector TMD parton distribution functions (PDFs) of proton. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2306.06488v3-abstract-full').style.display = 'none'; document.getElementById('2306.06488v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 28 August, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 10 June, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">24 pages, 19 figures, published version</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> JHEP08(2023)172 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2302.09961">arXiv:2302.09961</a> <span> [<a href="https://arxiv.org/pdf/2302.09961">pdf</a>, <a href="https://arxiv.org/format/2302.09961">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Transverse-Momentum-Dependent Wave Functions of Pion from Lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Chu%2C+M">Min-Huan Chu</a>, <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jin-Chen He</a>, <a href="/search/hep-lat?searchtype=author&query=Hua%2C+J">Jun Hua</a>, <a href="/search/hep-lat?searchtype=author&query=Liang%2C+J">Jian Liang</a>, <a href="/search/hep-lat?searchtype=author&query=Ji%2C+X">Xiangdong Ji</a>, <a href="/search/hep-lat?searchtype=author&query=Schafer%2C+A">Andreas Schafer</a>, <a href="/search/hep-lat?searchtype=author&query=Shu%2C+H">Hai-Tao Shu</a>, <a href="/search/hep-lat?searchtype=author&query=Su%2C+Y">Yushan Su</a>, <a href="/search/hep-lat?searchtype=author&query=Wang%2C+J">Ji-Hao Wang</a>, <a href="/search/hep-lat?searchtype=author&query=Wang%2C+W">Wei Wang</a>, <a href="/search/hep-lat?searchtype=author&query=Yang%2C+Y">Yi-Bo Yang</a>, <a href="/search/hep-lat?searchtype=author&query=Zeng%2C+J">Jun Zeng</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+J">Jian-Hui Zhang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+Q">Qi-An Zhang</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2302.09961v1-abstract-short" style="display: inline;"> We present a first lattice QCD calculation of the transverse-momentum-dependent wave functions (TMDWFs) of the pion using large-momentum effective theory. Numerical simulations are based on one ensemble with 2+1+1 flavors of highly improved staggered quarks action with lattice spacing $a=0.121$~fm from the MILC Collaboration, and one with 2 +1 flavor clover fermions and tree-level Symanzik gauge a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2302.09961v1-abstract-full').style.display = 'inline'; document.getElementById('2302.09961v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2302.09961v1-abstract-full" style="display: none;"> We present a first lattice QCD calculation of the transverse-momentum-dependent wave functions (TMDWFs) of the pion using large-momentum effective theory. Numerical simulations are based on one ensemble with 2+1+1 flavors of highly improved staggered quarks action with lattice spacing $a=0.121$~fm from the MILC Collaboration, and one with 2 +1 flavor clover fermions and tree-level Symanzik gauge action generated by the CLS Collaboration with $a=0.098$~fm. As a key ingredient, the soft function is first obtained by incorporating the one-loop perturbative contributions and a proper normalization. Based on this and the equal-time quasi-TMDWFs simulated on the lattice, we extract the light-cone TMDWFs. The results are comparable between the two lattice ensembles and a comparison with phenomenological parametrization is made. Our studies provide a first attempt of $ab$ $initio$ calculation of TMDWFs which will eventually lead to crucial theory inputs for making predictions for exclusive processes under QCD factorization. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2302.09961v1-abstract-full').style.display = 'none'; document.getElementById('2302.09961v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 20 February, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2023. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2211.02340">arXiv:2211.02340</a> <span> [<a href="https://arxiv.org/pdf/2211.02340">pdf</a>, <a href="https://arxiv.org/format/2211.02340">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Unpolarized Transverse-Momentum-Dependent Parton Distributions of the Nucleon from Lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Lattice+Parton+Collaboration"> Lattice Parton Collaboration</a>, <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jin-Chen He</a>, <a href="/search/hep-lat?searchtype=author&query=Chu%2C+M">Min-Huan Chu</a>, <a href="/search/hep-lat?searchtype=author&query=Hua%2C+J">Jun Hua</a>, <a href="/search/hep-lat?searchtype=author&query=Ji%2C+X">Xiangdong Ji</a>, <a href="/search/hep-lat?searchtype=author&query=Sch%C3%A4fer%2C+A">Andreas Sch盲fer</a>, <a href="/search/hep-lat?searchtype=author&query=Su%2C+Y">Yushan Su</a>, <a href="/search/hep-lat?searchtype=author&query=Wang%2C+W">Wei Wang</a>, <a href="/search/hep-lat?searchtype=author&query=Yang%2C+Y">Yibo Yang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+J">Jian-Hui Zhang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+Q">Qi-An Zhang</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2211.02340v3-abstract-short" style="display: inline;"> We present a first lattice QCD calculation of the unpolarized nucleon's isovector transverse-momentum-dependent parton distribution functions (TMDPDFs), which are essential to predict observables of multi-scale, semi-inclusive processes in the standard model. We use a $N_f=2+1+1$ MILC ensemble with valence clover fermions on a highly improved staggered quark (HISQ) sea to compute the quark momentu… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.02340v3-abstract-full').style.display = 'inline'; document.getElementById('2211.02340v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2211.02340v3-abstract-full" style="display: none;"> We present a first lattice QCD calculation of the unpolarized nucleon's isovector transverse-momentum-dependent parton distribution functions (TMDPDFs), which are essential to predict observables of multi-scale, semi-inclusive processes in the standard model. We use a $N_f=2+1+1$ MILC ensemble with valence clover fermions on a highly improved staggered quark (HISQ) sea to compute the quark momentum distributions in a large-momentum nucleon on the lattice. The state-of-the-art techniques in renormalization and extrapolation in the correlation distance on the lattice are adopted. {The perturbative kernel up to next-to-next-to-leading order is taken into account}, and the dependence on the pion mass and the hadron momentum is explored. Our results are qualitatively comparable with phenomenological TMDPDFs, which provide an opportunity to predict high energy scatterings from first principles. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.02340v3-abstract-full').style.display = 'none'; document.getElementById('2211.02340v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 18 May, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 4 November, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">16 pages, 20 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2207.00183">arXiv:2207.00183</a> <span> [<a href="https://arxiv.org/pdf/2207.00183">pdf</a>, <a href="https://arxiv.org/format/2207.00183">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/s11433-023-2205-0">10.1007/s11433-023-2205-0 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Hidden-charm Hexaquarks from Lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Liu%2C+H">Hang Liu</a>, <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jinchen He</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+L">Liuming Liu</a>, <a href="/search/hep-lat?searchtype=author&query=Sun%2C+P">Peng Sun</a>, <a href="/search/hep-lat?searchtype=author&query=Wang%2C+W">Wei Wang</a>, <a href="/search/hep-lat?searchtype=author&query=Yang%2C+Y">Yi-Bo Yang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+Q">Qi-An Zhang</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2207.00183v2-abstract-short" style="display: inline;"> We present a lattice QCD study of hidden-charm hexaquarks with quark content $usc\bar{d}\bar{s}\bar{c}$ based on four ensembles of gauge configurations generated by CLQCD Collaboration with pion mass in the range of 220-300MeV. Four operators with quantum numbers $0^{++}, 0^{-+}, 1^{++}$ and $1^{--}$ respectively are constructed to interpolate the hexaquarks. After validating the spectrum and the… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2207.00183v2-abstract-full').style.display = 'inline'; document.getElementById('2207.00183v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2207.00183v2-abstract-full" style="display: none;"> We present a lattice QCD study of hidden-charm hexaquarks with quark content $usc\bar{d}\bar{s}\bar{c}$ based on four ensembles of gauge configurations generated by CLQCD Collaboration with pion mass in the range of 220-300MeV. Four operators with quantum numbers $0^{++}, 0^{-+}, 1^{++}$ and $1^{--}$ respectively are constructed to interpolate the hexaquarks. After validating the spectrum and the dispersion relation for ordinary hadrons, we calculate the masses of the hexaquarks and extrapolate the results to the physical pion mass and the continuum limit. We find that the masses of the four hexaquarks are all below the $螢_c \bar 螢_c$ threshold, while the $0^{-+}$ hexaquark lies around the $畏_c K^+K^-$ threshold. These results will be helpful for experimental searches in future and for a deep understanding of the nature of multiquark states. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2207.00183v2-abstract-full').style.display = 'none'; document.getElementById('2207.00183v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 14 September, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 30 June, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 6 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2201.09173">arXiv:2201.09173</a> <span> [<a href="https://arxiv.org/pdf/2201.09173">pdf</a>, <a href="https://arxiv.org/format/2201.09173">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevLett.129.132001">10.1103/PhysRevLett.129.132001 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Pion and Kaon Distribution Amplitudes from Lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Hua%2C+J">Jun Hua</a>, <a href="/search/hep-lat?searchtype=author&query=Chu%2C+M">Min-Huan Chu</a>, <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jin-Chen He</a>, <a href="/search/hep-lat?searchtype=author&query=Ji%2C+X">Xiangdong Ji</a>, <a href="/search/hep-lat?searchtype=author&query=Sch%C3%A4fer%2C+A">Andreas Sch盲fer</a>, <a href="/search/hep-lat?searchtype=author&query=Su%2C+Y">Yushan Su</a>, <a href="/search/hep-lat?searchtype=author&query=Sun%2C+P">Peng Sun</a>, <a href="/search/hep-lat?searchtype=author&query=Wang%2C+W">Wei Wang</a>, <a href="/search/hep-lat?searchtype=author&query=Xu%2C+J">Ji Xu</a>, <a href="/search/hep-lat?searchtype=author&query=Yang%2C+Y">Yi-Bo Yang</a>, <a href="/search/hep-lat?searchtype=author&query=Yao%2C+F">Fei Yao</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+J">Jian-Hui Zhang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+Q">Qi-An Zhang</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2201.09173v1-abstract-short" style="display: inline;"> We present the state-of-the-art lattice QCD calculation of the pion and kaon light-cone distribution amplitudes (DAs) using large-momentum effective theory. The calculation is done at three lattice spacings $a\approx\{0.06,0.09,0.12\}$ fm and physical pion and kaon masses, with the meson momenta $P_z = \{1.29,1.72,2.15\}$ GeV. The result is non-perturbatively renormalized in a recently proposed hy… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.09173v1-abstract-full').style.display = 'inline'; document.getElementById('2201.09173v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2201.09173v1-abstract-full" style="display: none;"> We present the state-of-the-art lattice QCD calculation of the pion and kaon light-cone distribution amplitudes (DAs) using large-momentum effective theory. The calculation is done at three lattice spacings $a\approx\{0.06,0.09,0.12\}$ fm and physical pion and kaon masses, with the meson momenta $P_z = \{1.29,1.72,2.15\}$ GeV. The result is non-perturbatively renormalized in a recently proposed hybrid scheme with self renormalization, and extrapolated to the continuum as well as the infinite momentum limit. We find a significant deviation of the pion and kaon DAs from the asymptotic form, and a large $SU(3)$ flavor breaking effect in the kaon DA. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.09173v1-abstract-full').style.display = 'none'; document.getElementById('2201.09173v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 22 January, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">11 pages,18 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2104.05226">arXiv:2104.05226</a> <span> [<a href="https://arxiv.org/pdf/2104.05226">pdf</a>, <a href="https://arxiv.org/format/2104.05226">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevC.105.065203">10.1103/PhysRevC.105.065203 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$ </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jinchen He</a>, <a href="/search/hep-lat?searchtype=author&query=Brantley%2C+D+A">David A. Brantley</a>, <a href="/search/hep-lat?searchtype=author&query=Chang%2C+C+C">Chia Cheng Chang</a>, <a href="/search/hep-lat?searchtype=author&query=Chernyshev%2C+I">Ivan Chernyshev</a>, <a href="/search/hep-lat?searchtype=author&query=Berkowitz%2C+E">Evan Berkowitz</a>, <a href="/search/hep-lat?searchtype=author&query=Howarth%2C+D">Dean Howarth</a>, <a href="/search/hep-lat?searchtype=author&query=K%C3%B6rber%2C+C">Christopher K枚rber</a>, <a href="/search/hep-lat?searchtype=author&query=Meyer%2C+A+S">Aaron S. Meyer</a>, <a href="/search/hep-lat?searchtype=author&query=Monge-Camacho%2C+H">Henry Monge-Camacho</a>, <a href="/search/hep-lat?searchtype=author&query=Rinaldi%2C+E">Enrico Rinaldi</a>, <a href="/search/hep-lat?searchtype=author&query=Bouchard%2C+C">Chris Bouchard</a>, <a href="/search/hep-lat?searchtype=author&query=Clark%2C+M+A">M. A. Clark</a>, <a href="/search/hep-lat?searchtype=author&query=Gambhir%2C+A+S">Arjun Singh Gambhir</a>, <a href="/search/hep-lat?searchtype=author&query=Monahan%2C+C+J">Christopher J. Monahan</a>, <a href="/search/hep-lat?searchtype=author&query=Nicholson%2C+A">Amy Nicholson</a>, <a href="/search/hep-lat?searchtype=author&query=Vranas%2C+P">Pavlos Vranas</a>, <a href="/search/hep-lat?searchtype=author&query=Walker-Loud%2C+A">Andr茅 Walker-Loud</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2104.05226v2-abstract-short" style="display: inline;"> Excited state contamination remains one of the most challenging sources of systematic uncertainty to control in lattice QCD calculations of nucleon matrix elements and form factors: early time separations are contaminated by excited states and late times suffer from an exponentially bad signal-to-noise problem. High-statistics calculations at large time separations $\gtrsim1$ fm are commonly used… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2104.05226v2-abstract-full').style.display = 'inline'; document.getElementById('2104.05226v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2104.05226v2-abstract-full" style="display: none;"> Excited state contamination remains one of the most challenging sources of systematic uncertainty to control in lattice QCD calculations of nucleon matrix elements and form factors: early time separations are contaminated by excited states and late times suffer from an exponentially bad signal-to-noise problem. High-statistics calculations at large time separations $\gtrsim1$ fm are commonly used to combat these issues. In this work, focusing on $g_A$, we explore the alternative strategy of utilizing a large number of relatively low-statistics calculations at short to medium time separations (0.2--1 fm), combined with a multi-state analysis. On an ensemble with a pion mass of approximately 310 MeV and a lattice spacing of approximately 0.09 fm, we find this provides a more robust and economical method of quantifying and controlling the excited state systematic uncertainty. A quantitative separation of various types of excited states enables the identification of the transition matrix elements as the dominant contamination. The excited state contamination of the Feynman-Hellmann correlation function is found to reduce to the 1% level at approximately 1 fm while for the more standard three-point functions, this does not occur until after 2 fm. Critical to our findings is the use of a global minimization, rather than fixing the spectrum from the two-point functions and using them as input to the three-point analysis. We find that the ground state parameters determined in such a global analysis are stable against variations in the excited state model, the number of excited states, and the truncation of early-time or late-time numerical data. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2104.05226v2-abstract-full').style.display = 'none'; document.getElementById('2104.05226v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 June, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 12 April, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">v2: updates based on referee comments and some community response, consistent with published version; v1: 13 pages plus appendices. The correlation function data and analysis code accompanying this publication can be accessed at this github repository: https://github.com/callat-qcd/project_fh_vs_3pt</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-21-3350, RIKEN-iTHEMS-Report-21 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. C 105, 065203 (2022) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1709.01920">arXiv:1709.01920</a> <span> [<a href="https://arxiv.org/pdf/1709.01920">pdf</a>, <a href="https://arxiv.org/format/1709.01920">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.96.112005">10.1103/PhysRevD.96.112005 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Measurement of the shape of the $螞_b^0\to螞_c^+ 渭^- \overline谓$ differential decay rate </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=LHCb+collaboration"> LHCb collaboration</a>, <a href="/search/hep-lat?searchtype=author&query=Aaij%2C+R">R. Aaij</a>, <a href="/search/hep-lat?searchtype=author&query=Adeva%2C+B">B. Adeva</a>, <a href="/search/hep-lat?searchtype=author&query=Adinolfi%2C+M">M. Adinolfi</a>, <a href="/search/hep-lat?searchtype=author&query=Ajaltouni%2C+Z">Z. Ajaltouni</a>, <a href="/search/hep-lat?searchtype=author&query=Akar%2C+S">S. Akar</a>, <a href="/search/hep-lat?searchtype=author&query=Albrecht%2C+J">J. Albrecht</a>, <a href="/search/hep-lat?searchtype=author&query=Alessio%2C+F">F. Alessio</a>, <a href="/search/hep-lat?searchtype=author&query=Alexander%2C+M">M. Alexander</a>, <a href="/search/hep-lat?searchtype=author&query=Albero%2C+A+A">A. Alfonso Albero</a>, <a href="/search/hep-lat?searchtype=author&query=Ali%2C+S">S. Ali</a>, <a href="/search/hep-lat?searchtype=author&query=Alkhazov%2C+G">G. Alkhazov</a>, <a href="/search/hep-lat?searchtype=author&query=Cartelle%2C+P+A">P. Alvarez Cartelle</a>, <a href="/search/hep-lat?searchtype=author&query=Alves%2C+A+A">A. A. Alves Jr</a>, <a href="/search/hep-lat?searchtype=author&query=Amato%2C+S">S. Amato</a>, <a href="/search/hep-lat?searchtype=author&query=Amerio%2C+S">S. Amerio</a>, <a href="/search/hep-lat?searchtype=author&query=Amhis%2C+Y">Y. Amhis</a>, <a href="/search/hep-lat?searchtype=author&query=An%2C+L">L. An</a>, <a href="/search/hep-lat?searchtype=author&query=Anderlini%2C+L">L. Anderlini</a>, <a href="/search/hep-lat?searchtype=author&query=Andreassi%2C+G">G. Andreassi</a>, <a href="/search/hep-lat?searchtype=author&query=Andreotti%2C+M">M. Andreotti</a>, <a href="/search/hep-lat?searchtype=author&query=Andrews%2C+J+E">J. E. Andrews</a>, <a href="/search/hep-lat?searchtype=author&query=Appleby%2C+R+B">R. B. Appleby</a>, <a href="/search/hep-lat?searchtype=author&query=Archilli%2C+F">F. Archilli</a>, <a href="/search/hep-lat?searchtype=author&query=d%27Argent%2C+P">P. d'Argent</a> , et al. (781 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1709.01920v4-abstract-short" style="display: inline;"> A measurement of the shape of the differential decay rate and the associated Isgur-Wise function for the decay $螞_b^0\to螞_c^+渭^-\overline谓$ is reported, using data corresponding to $3 fb^{-1}$ collected with the LHCb detector in proton-proton collisions. The $螞_c^+渭^-\overline谓$(+ anything) final states are reconstructed through the detection of a muon and a $螞_c^+$ baryon decaying into $pK^-蟺^+$,… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1709.01920v4-abstract-full').style.display = 'inline'; document.getElementById('1709.01920v4-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1709.01920v4-abstract-full" style="display: none;"> A measurement of the shape of the differential decay rate and the associated Isgur-Wise function for the decay $螞_b^0\to螞_c^+渭^-\overline谓$ is reported, using data corresponding to $3 fb^{-1}$ collected with the LHCb detector in proton-proton collisions. The $螞_c^+渭^-\overline谓$(+ anything) final states are reconstructed through the detection of a muon and a $螞_c^+$ baryon decaying into $pK^-蟺^+$, and the decays $螞_b^0\to螞_c^+蟺^+蟺^-渭^-\overline谓$ are used to determine contributions from $螞_b^0\to 螞_c^{\star+}渭^-\bar谓$ decays. The measured dependence of the differential decay rate upon the squared four-momentum transfer between the heavy baryons, $q^2$, is compared with expectations from heavy-quark effective theory and from unquenched lattice QCD predictions. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1709.01920v4-abstract-full').style.display = 'none'; document.getElementById('1709.01920v4-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 March, 2018; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 6 September, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">published version, 24 pages, 5 figures, all figures and tables https://lhcbproject.web.cern.ch/lhcbproject/Publications/LHCbProjectPublic/LHCb-PAPER-2017-016.html</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-PH-EP-2017-164, LHCb-PAPER-2017-016 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 96, 112005 (2017) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1704.08776">arXiv:1704.08776</a> <span> [<a href="https://arxiv.org/pdf/1704.08776">pdf</a>, <a href="https://arxiv.org/ps/1704.08776">ps</a>, <a href="https://arxiv.org/format/1704.08776">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1140/epjc/s10052-017-4973-8">10.1140/epjc/s10052-017-4973-8 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Interpretation of $Y(4390)$ as an isoscalar partner of $Z(4430)$ from $D^*(2010)\bar{D}_1(2420)$ interaction </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jun He</a>, <a href="/search/hep-lat?searchtype=author&query=Chen%2C+D">Dian-Yong Chen</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1704.08776v2-abstract-short" style="display: inline;"> Invoked by the recent observation of $Y(4390)$ at BESIII, which is about 40 MeV below the $D^*(2010)\bar{D}_1(2420)$ threshold, we investigate possible bound and resonance states from the $D^*(2010)\bar{D}_1(2420)$ interaction with the one-boson-exchange model in a quasipotential Bethe-Salpeter equation approach. A bound state with quantum number $0^-(1^{--})$ is produced at 4384 MeV from the… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1704.08776v2-abstract-full').style.display = 'inline'; document.getElementById('1704.08776v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1704.08776v2-abstract-full" style="display: none;"> Invoked by the recent observation of $Y(4390)$ at BESIII, which is about 40 MeV below the $D^*(2010)\bar{D}_1(2420)$ threshold, we investigate possible bound and resonance states from the $D^*(2010)\bar{D}_1(2420)$ interaction with the one-boson-exchange model in a quasipotential Bethe-Salpeter equation approach. A bound state with quantum number $0^-(1^{--})$ is produced at 4384 MeV from the $D^ (2010)\bar{D}_1(2420)$ interaction, which can be related to experimentally observed $Y(4390)$. Another state with quantum number $1^+(1^{+})$ is also produced at $4461+i39$ MeV from this interaction. Different from the $0^-(1^{--})$ state, the $1^+(1^{+})$ state is a resonance state above the $D^*(2010)\bar{D}_1(2420)$ threshold. This resonance state can be related to the first observed charged charmonium-like state $Z(4430)$, which has a mass about 4475 MeV measured above the threshold as observed at Belle and LHCb. Our result suggests that $Y(4390)$ is an isoscalar partner of the $Z(4430)$ as a hadronic-molecular state from the $D^*(2010)\bar{D}_1(2420)$ interaction. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1704.08776v2-abstract-full').style.display = 'none'; document.getElementById('1704.08776v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 June, 2017; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 27 April, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">5 pages, 1 figure</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1701.01551">arXiv:1701.01551</a> <span> [<a href="https://arxiv.org/pdf/1701.01551">pdf</a>, <a href="https://arxiv.org/ps/1701.01551">ps</a>, <a href="https://arxiv.org/format/1701.01551">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> The hidden-charm multiquark states </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Chen%2C+H">Hua-Xing Chen</a>, <a href="/search/hep-lat?searchtype=author&query=Chen%2C+W">Wei Chen</a>, <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jun He</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+X">Xiang Liu</a>, <a href="/search/hep-lat?searchtype=author&query=Zhu%2C+S">Shi-Lin Zhu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1701.01551v1-abstract-short" style="display: inline;"> Since 2003 many charmonium-like states were observed experimentally. Especially those charged charmonium-like $Z_c$ states and bottomonium-like $Z_b$ states cannot be accommodated within the naive quark model, which are good candidates of either the hidden-charm tetraquark states or molecules composed of a pair of charmed mesons. In 2015, the LHCb Collaboration discovered two hidden-charm pentaqua… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1701.01551v1-abstract-full').style.display = 'inline'; document.getElementById('1701.01551v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1701.01551v1-abstract-full" style="display: none;"> Since 2003 many charmonium-like states were observed experimentally. Especially those charged charmonium-like $Z_c$ states and bottomonium-like $Z_b$ states cannot be accommodated within the naive quark model, which are good candidates of either the hidden-charm tetraquark states or molecules composed of a pair of charmed mesons. In 2015, the LHCb Collaboration discovered two hidden-charm pentaquark states, which are also beyond the quark model. In this talk, we review the current experimental progress and investigate various theoretical interpretations of these candidates of the multiquark states. We list the puzzles and theoretical challenges of these models when confronted with the experimental data. We also discuss possible future measurements which may distinguish the theoretical schemes on the underlying structures of the hidden-charm multiquark states. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1701.01551v1-abstract-full').style.display = 'none'; document.getElementById('1701.01551v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 6 January, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Plenary talk at the 26th International Nuclear Physics Conference, 11-16 September 2016, Adelaide, Australia</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> POS (INPC2016) 374 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1609.03235">arXiv:1609.03235</a> <span> [<a href="https://arxiv.org/pdf/1609.03235">pdf</a>, <a href="https://arxiv.org/ps/1609.03235">ps</a>, <a href="https://arxiv.org/format/1609.03235">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/1674-1137/41/10/103105">10.1088/1674-1137/41/10/103105 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Possible strange hidden-charm pentaquarks from $危_c^{(*)}\bar{D}_s^*$ and $螢^{(',*)}_c\bar{D}^*$ interactions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Chen%2C+R">Rui Chen</a>, <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jun He</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+X">Xiang Liu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1609.03235v3-abstract-short" style="display: inline;"> Using the one-boson-exchange model, we investigate the $螞_c\bar{D}_s^*$, $危_c\bar{D}_s^*$, $危_c^*\bar{D}_s^*$, $螢_c\bar{D}^*$, $螢_c'\bar{D}^*$, and $螢_c^*\bar{D}^*$ interactions by considering the one-eta-exchange and/or one-pion-exchange contributions. We further predict the existence of hidden-charm molecular pentaquarks. Promising candidates for hidden-charm molecular pentaquarks include a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1609.03235v3-abstract-full').style.display = 'inline'; document.getElementById('1609.03235v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1609.03235v3-abstract-full" style="display: none;"> Using the one-boson-exchange model, we investigate the $螞_c\bar{D}_s^*$, $危_c\bar{D}_s^*$, $危_c^*\bar{D}_s^*$, $螢_c\bar{D}^*$, $螢_c'\bar{D}^*$, and $螢_c^*\bar{D}^*$ interactions by considering the one-eta-exchange and/or one-pion-exchange contributions. We further predict the existence of hidden-charm molecular pentaquarks. Promising candidates for hidden-charm molecular pentaquarks include a $螢_c'\bar{D}^*$ state with $0(\frac{1}{2}^-)$ and the $螢_c^*\bar{D}^*$ states with $0(\frac{1}{2}^-)$ and $0(\frac{3}{2}^-)$. Experimental searches for these predicted hidden-charm molecular pentaquarks are an interesting future research topic for experiments like LHCb. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1609.03235v3-abstract-full').style.display = 'none'; document.getElementById('1609.03235v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 15 August, 2017; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 11 September, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">8 pages,3 figures. To be published in Chinese Physics C</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Chin. Phys. C41, 103105 (2017) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1507.05200">arXiv:1507.05200</a> <span> [<a href="https://arxiv.org/pdf/1507.05200">pdf</a>, <a href="https://arxiv.org/ps/1507.05200">ps</a>, <a href="https://arxiv.org/format/1507.05200">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/j.physletb.2015.12.071">10.1016/j.physletb.2015.12.071 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> $\bar{D}危^*_c$ and $\bar{D}^*危_c$ interactions and the LHCb hidden-charmed pentaquarks </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jun He</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1507.05200v3-abstract-short" style="display: inline;"> Very recently, two hidden-charmed resonances $P_c(4380)$ and $P_c(4450)$ consistent with pentaquark states were observed at the LHCb detector. The two $P_c$ states locate just below the $\bar{D}危^*_c$ and $\bar{D}^*危_c$ thresholds with mass of gaps about 5 and 15 MeV, respectively. Inspired by this fact we perform a dynamical investigation about the $\bar{D}危_c^*(2520)$ and $\bar{D}^*危_c(2455)$ in… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1507.05200v3-abstract-full').style.display = 'inline'; document.getElementById('1507.05200v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1507.05200v3-abstract-full" style="display: none;"> Very recently, two hidden-charmed resonances $P_c(4380)$ and $P_c(4450)$ consistent with pentaquark states were observed at the LHCb detector. The two $P_c$ states locate just below the $\bar{D}危^*_c$ and $\bar{D}^*危_c$ thresholds with mass of gaps about 5 and 15 MeV, respectively. Inspired by this fact we perform a dynamical investigation about the $\bar{D}危_c^*(2520)$ and $\bar{D}^*危_c(2455)$ interactions which are described by the meson exchanges. A bound state which carries spin-parity $J^P=3/2^-$ is produced from the $\bar{D}危^*_c(2520)$ interaction, which is consistent with the $P_c(4380)$ observed at the LHCb detector. From the $D^*危_c(2455)$ interaction, a bound state with $5/2^+$ is produced, which can be related to the $P_c(4450)$. The results suggest that the $P_c(4380)$ and $P_c(4450)$ are good candidates of $\bar{D}危_c^*(2520)$ and $\bar{D}^*危_c(2455)$ molecular states, respectively. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1507.05200v3-abstract-full').style.display = 'none'; document.getElementById('1507.05200v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 30 December, 2015; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 18 July, 2015; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2015. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">5 pages, 3 figures, published version in Phys. Lett. B</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Lett.B753(2016),547 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1505.05379">arXiv:1505.05379</a> <span> [<a href="https://arxiv.org/pdf/1505.05379">pdf</a>, <a href="https://arxiv.org/ps/1505.05379">ps</a>, <a href="https://arxiv.org/format/1505.05379">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.92.034004">10.1103/PhysRevD.92.034004 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> $Z_c(3900)$ as a resonance from the $D\bar{D}^*$ interaction </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jun He</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1505.05379v3-abstract-short" style="display: inline;"> In this paper it is proposed that the charged charmonium-like state $Z_c(3900)$ is a resonance above the threshold from the $D\bar{D}^*$ interaction. The $D\bar{D}^*$ interaction is described by the one-boson exchange model with light meson exchanges plus a short-range $J/蠄$ exchange. The scattering amplitude is calculated within a Bethe-Salpeter equation approach and the poles near the… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1505.05379v3-abstract-full').style.display = 'inline'; document.getElementById('1505.05379v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1505.05379v3-abstract-full" style="display: none;"> In this paper it is proposed that the charged charmonium-like state $Z_c(3900)$ is a resonance above the threshold from the $D\bar{D}^*$ interaction. The $D\bar{D}^*$ interaction is described by the one-boson exchange model with light meson exchanges plus a short-range $J/蠄$ exchange. The scattering amplitude is calculated within a Bethe-Salpeter equation approach and the poles near the $D\bar{D}^*$ threshold are searched. In the isoscalar sector, two poles found under the $D\bar{D}^*$ threshold, i.e., bound states, have the quantum numbers $I^G(J^{PC})=0^-(1^{+-})$ and $0^+(1^{++})$. The latter can be related to the $X(3872)$. In the isovector sector, a bound state with $I^G(J^P)=1^+(1^+)$ is found with a large cutoff at about 3 GeV. If a cutoff at about 2 GeV is adopted with which a pole carrying the quantum number of the $X(3872)$ is produced at an energy of about 3871 MeV, the pole for the bound state with $1^+(1^+)$ runs across the threshold to a second Rienman sheet and becomes a resonance above the $D\bar{D}^*$ threshold, which can be identified with the $Z_c(3900)$. With such a cutoff, the $D\bar{D}^{*}$ invariant mass spectrum is also investigated and the experimental results found by BESIII can be reproduced. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1505.05379v3-abstract-full').style.display = 'none'; document.getElementById('1505.05379v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 August, 2015; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 20 May, 2015; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2015. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 3 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 92, 034004 (2015) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1501.00522">arXiv:1501.00522</a> <span> [<a href="https://arxiv.org/pdf/1501.00522">pdf</a>, <a href="https://arxiv.org/ps/1501.00522">ps</a>, <a href="https://arxiv.org/format/1501.00522">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevC.91.018201">10.1103/PhysRevC.91.018201 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The internal structures of the nucleon resonances $N(1875)$ and $N(2120)$ </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jun He</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1501.00522v1-abstract-short" style="display: inline;"> A nucleon resonance with spin-parity $J^P=3/2^-$ and mass about 2.1 GeV is essential to reproduce the photoproduction cross sections for $螞(1520)$ released by the LEPS and CLAS Collaborations. It can be explained as the third nucleon resonance state $[3/2^-]_3$ in the constituent quark model so that there is no position to settle the $N(1875)$ which is listed in the PDG as the third $N3/2^-$ nucle… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1501.00522v1-abstract-full').style.display = 'inline'; document.getElementById('1501.00522v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1501.00522v1-abstract-full" style="display: none;"> A nucleon resonance with spin-parity $J^P=3/2^-$ and mass about 2.1 GeV is essential to reproduce the photoproduction cross sections for $螞(1520)$ released by the LEPS and CLAS Collaborations. It can be explained as the third nucleon resonance state $[3/2^-]_3$ in the constituent quark model so that there is no position to settle the $N(1875)$ which is listed in the PDG as the third $N3/2^-$ nucleon resonance. An interpretation is proposed that the $N(1875)$ is from the interaction of a decuplet baryon $危(1385)$ and a octet meson $K$, which is favored by a calculation of binding energy and decay pattern in a Bethe-Salpeter approach. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1501.00522v1-abstract-full').style.display = 'none'; document.getElementById('1501.00522v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 January, 2015; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2015. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">5 pages, 2 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Rev. C91 (2015) 1, 018201 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1311.3763">arXiv:1311.3763</a> <span> [<a href="https://arxiv.org/pdf/1311.3763">pdf</a>, <a href="https://arxiv.org/ps/1311.3763">ps</a>, <a href="https://arxiv.org/format/1311.3763">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> XYZ States </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Chen%2C+W">Wei Chen</a>, <a href="/search/hep-lat?searchtype=author&query=Deng%2C+W">Wei-Zhen Deng</a>, <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jun He</a>, <a href="/search/hep-lat?searchtype=author&query=Li%2C+N">Ning Li</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+X">Xiang Liu</a>, <a href="/search/hep-lat?searchtype=author&query=Luo%2C+Z">Zhi-Gang Luo</a>, <a href="/search/hep-lat?searchtype=author&query=Sun%2C+Z">Zhi-Feng Sun</a>, <a href="/search/hep-lat?searchtype=author&query=Zhu%2C+S">Shi-Lin Zhu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1311.3763v1-abstract-short" style="display: inline;"> In the past decade, many new charmonium (or charmonium-like) and bottomonium (or bottomonium-like) states were observed experimentally. I will review these XYZ states which do not fit into the quark model spectrum easily. </span> <span class="abstract-full has-text-grey-dark mathjax" id="1311.3763v1-abstract-full" style="display: none;"> In the past decade, many new charmonium (or charmonium-like) and bottomonium (or bottomonium-like) states were observed experimentally. I will review these XYZ states which do not fit into the quark model spectrum easily. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1311.3763v1-abstract-full').style.display = 'none'; document.getElementById('1311.3763v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 15 November, 2013; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2013. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Plenary talk at the XV International Conference on Hadron Spectroscopy-Hadron 2013, 4-8 November 2013, Nara, Japan</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> PoS(Hadron 2013)005 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1307.2476">arXiv:1307.2476</a> <span> [<a href="https://arxiv.org/pdf/1307.2476">pdf</a>, <a href="https://arxiv.org/format/1307.2476">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevLett.111.102003">10.1103/PhysRevLett.111.102003 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Precision measurement of the Lambda_b baryon lifetime </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=LHCb+collaboration"> LHCb collaboration</a>, <a href="/search/hep-lat?searchtype=author&query=Aaij%2C+R">R. Aaij</a>, <a href="/search/hep-lat?searchtype=author&query=Adeva%2C+B">B. Adeva</a>, <a href="/search/hep-lat?searchtype=author&query=Adinolfi%2C+M">M. Adinolfi</a>, <a href="/search/hep-lat?searchtype=author&query=Adrover%2C+C">C. Adrover</a>, <a href="/search/hep-lat?searchtype=author&query=Affolder%2C+A">A. Affolder</a>, <a href="/search/hep-lat?searchtype=author&query=Ajaltouni%2C+Z">Z. Ajaltouni</a>, <a href="/search/hep-lat?searchtype=author&query=Albrecht%2C+J">J. Albrecht</a>, <a href="/search/hep-lat?searchtype=author&query=Alessio%2C+F">F. Alessio</a>, <a href="/search/hep-lat?searchtype=author&query=Alexander%2C+M">M. Alexander</a>, <a href="/search/hep-lat?searchtype=author&query=Ali%2C+S">S. Ali</a>, <a href="/search/hep-lat?searchtype=author&query=Alkhazov%2C+G">G. Alkhazov</a>, <a href="/search/hep-lat?searchtype=author&query=Cartelle%2C+P+A">P. Alvarez Cartelle</a>, <a href="/search/hep-lat?searchtype=author&query=Alves%2C+A+A">A. A. Alves Jr</a>, <a href="/search/hep-lat?searchtype=author&query=Amato%2C+S">S. Amato</a>, <a href="/search/hep-lat?searchtype=author&query=Amerio%2C+S">S. Amerio</a>, <a href="/search/hep-lat?searchtype=author&query=Amhis%2C+Y">Y. Amhis</a>, <a href="/search/hep-lat?searchtype=author&query=Anderlini%2C+L">L. Anderlini</a>, <a href="/search/hep-lat?searchtype=author&query=Anderson%2C+J">J. Anderson</a>, <a href="/search/hep-lat?searchtype=author&query=Andreassen%2C+R">R. Andreassen</a>, <a href="/search/hep-lat?searchtype=author&query=Andrews%2C+J+E">J. E. Andrews</a>, <a href="/search/hep-lat?searchtype=author&query=Appleby%2C+R+B">R. B. Appleby</a>, <a href="/search/hep-lat?searchtype=author&query=Gutierrez%2C+O+A">O. Aquines Gutierrez</a>, <a href="/search/hep-lat?searchtype=author&query=Archilli%2C+F">F. Archilli</a>, <a href="/search/hep-lat?searchtype=author&query=Artamonov%2C+A">A. Artamonov</a> , et al. (630 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1307.2476v2-abstract-short" style="display: inline;"> The ratio of the 螞b baryon lifetime to that of the B0 meson is measured using 1.0/fb of integrated luminosity in 7 TeV center-of-mass energy pp collisions at the LHC. The 螞b baryon is observed for the first time in the decay mode 螞b -> J/蠄pK-, while the B0 meson decay used is the well known B0 -> J/蠄pi+K- mode, where the pi+ K- mass is consistent with that of the K*0(892) meson. The ratio of lifet… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1307.2476v2-abstract-full').style.display = 'inline'; document.getElementById('1307.2476v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1307.2476v2-abstract-full" style="display: none;"> The ratio of the 螞b baryon lifetime to that of the B0 meson is measured using 1.0/fb of integrated luminosity in 7 TeV center-of-mass energy pp collisions at the LHC. The 螞b baryon is observed for the first time in the decay mode 螞b -> J/蠄pK-, while the B0 meson decay used is the well known B0 -> J/蠄pi+K- mode, where the pi+ K- mass is consistent with that of the K*0(892) meson. The ratio of lifetimes is measured to be 0.976 +/- 0.012 +/- 0.006, in agreement with theoretical expectations based on the heavy quark expansion. Using previous determinations of the B0 meson lifetime, the 螞b lifetime is found to be 1.482 +/- 0.018 +/- 0.012 ps. In both cases the first uncertainty is statistical and the second systematic. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1307.2476v2-abstract-full').style.display = 'none'; document.getElementById('1307.2476v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 31 July, 2013; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 9 July, 2013; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2013. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">11 pages 6 figures, v2 minor corrections</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-PH-EP-2013-117, LHCb-PAPER-2013-032 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. Lett. 111, 102003 (2013) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1209.4138">arXiv:1209.4138</a> <span> [<a href="https://arxiv.org/pdf/1209.4138">pdf</a>, <a href="https://arxiv.org/ps/1209.4138">ps</a>, <a href="https://arxiv.org/format/1209.4138">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevC.86.035204">10.1103/PhysRevC.86.035204 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The roles of nucleon resonances in $螞$(1520) photoproduciton off proton </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jun He</a>, <a href="/search/hep-lat?searchtype=author&query=Chen%2C+X">Xu-Rong Chen</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1209.4138v1-abstract-short" style="display: inline;"> In this work the roles of the nucleon resonances in the $螞$(1520) photoproduction off proton target are investigated within the effective Lagrangian method. Besides the Born terms,including contact term, $s$-, $u$- and $K$ exchanged $t$-channels, vector meson $K^*$ exchanged $t-$channel is considered in our investigation, which is negligible at low energy and important at high energy. The importan… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1209.4138v1-abstract-full').style.display = 'inline'; document.getElementById('1209.4138v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1209.4138v1-abstract-full" style="display: none;"> In this work the roles of the nucleon resonances in the $螞$(1520) photoproduction off proton target are investigated within the effective Lagrangian method. Besides the Born terms,including contact term, $s$-, $u$- and $K$ exchanged $t$-channels, vector meson $K^*$ exchanged $t-$channel is considered in our investigation, which is negligible at low energy and important at high energy. The important nucleon resonances predicted by the constituent quark model (CQM) are considered and the results are found well comparable with the experimental data. Besides the dominant $D_{13}(2080)$, the resonance $[\textstyle{5\over 2}^-]_2(2080)$ predicted by the CQM is found important to reproduce the experimental data. Other nucleon resonances are found to give small contributions in the channel considered in this work. With all important nucleon resonances predicted by CQM, the prediction of the differential cross section at the energy up to 5.5 GeV are presented also, which can be checked by the future CLAS experimental data. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1209.4138v1-abstract-full').style.display = 'none'; document.getElementById('1209.4138v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 18 September, 2012; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2012. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">9 pages, 8 figures, 3 Tables, accepted by Phys. Rev. C</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Rev. C86 (2012) 035204 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1105.1600">arXiv:1105.1600</a> <span> [<a href="https://arxiv.org/pdf/1105.1600">pdf</a>, <a href="https://arxiv.org/ps/1105.1600">ps</a>, <a href="https://arxiv.org/format/1105.1600">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1140/epja/i2011-11099-x">10.1140/epja/i2011-11099-x <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Exploration of hyperfine interaction between constituent quarks via eta productions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jun He</a>, <a href="/search/hep-lat?searchtype=author&query=Yuan%2C+S+G">S. G. Yuan</a>, <a href="/search/hep-lat?searchtype=author&query=Xu%2C+H+S">H. S. Xu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1105.1600v1-abstract-short" style="display: inline;"> In this work, the different exchange freedom, one gluon, one pion or Goldstone boson, in constituent quark model is investigated, which is responsible to the hyperfine interaction between constituent quarks, via the combined analysis of the eta production processes, $蟺^{-}p\rightarrow畏n$ and $纬p\rightarrow畏p$. With the Goldstone-boson exchange, as well as the one-gluon or one-pion exchange, both t… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1105.1600v1-abstract-full').style.display = 'inline'; document.getElementById('1105.1600v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1105.1600v1-abstract-full" style="display: none;"> In this work, the different exchange freedom, one gluon, one pion or Goldstone boson, in constituent quark model is investigated, which is responsible to the hyperfine interaction between constituent quarks, via the combined analysis of the eta production processes, $蟺^{-}p\rightarrow畏n$ and $纬p\rightarrow畏p$. With the Goldstone-boson exchange, as well as the one-gluon or one-pion exchange, both the spectrum and observables, such as, the differential cross section and polarized beam asymmetry, are fitted to the suggested values of Particle Data Group and the experimental data. The first two types of exchange freedoms give acceptable description of the spectrum and observables while the one pion exchange can not describe the observables and spectrum simultaneously, so can be excluded. The experimental data for the two processes considered here strongly support the mixing angles for two lowest S11 sates and D13 states as about -30 and 6 degree respectively. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1105.1600v1-abstract-full').style.display = 'none'; document.getElementById('1105.1600v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 May, 2011; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2011. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 4 figures, 4 tables</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Eur. Phys. J. A (2011) 47: 99 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1008.1500">arXiv:1008.1500</a> <span> [<a href="https://arxiv.org/pdf/1008.1500">pdf</a>, <a href="https://arxiv.org/ps/1008.1500">ps</a>, <a href="https://arxiv.org/format/1008.1500">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.82.114029">10.1103/PhysRevD.82.114029 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The observed charmed hadron $螞_c(2940)^+$ and the $D^*N$ interaction </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jun He</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+X">Xiang Liu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1008.1500v2-abstract-short" style="display: inline;"> In this work, we systematically study the interaction of $D^*$ and nucleon, which is stimulated by the observation of $螞_c(2940)^+$ close to the threshold of $D^*p$. Our numerical result obtained by the dynamical investigation indicates the existence of the $D^*N$ systems with $J^P=1/2^\pm,\,3/2^\pm$, which not only provides valuable information to understand the underlying structure of… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1008.1500v2-abstract-full').style.display = 'inline'; document.getElementById('1008.1500v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1008.1500v2-abstract-full" style="display: none;"> In this work, we systematically study the interaction of $D^*$ and nucleon, which is stimulated by the observation of $螞_c(2940)^+$ close to the threshold of $D^*p$. Our numerical result obtained by the dynamical investigation indicates the existence of the $D^*N$ systems with $J^P=1/2^\pm,\,3/2^\pm$, which not only provides valuable information to understand the underlying structure of $螞_c(2940)^+$ but also improves our knowledge of the interaction of $D^*$ and nucleon. Additionally, the bottom partners of the $D^*N$ systems are predicted, which might be as one of the tasks in LHCb experiment. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1008.1500v2-abstract-full').style.display = 'none'; document.getElementById('1008.1500v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 December, 2010; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 9 August, 2010; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2010. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">8 pages, 6 Figures. Accepted for publication in Phys. Rev. D</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Rev.D82:114029,2010 </p> </li> </ol> <div class="is-hidden-tablet">  <span class="help" style="display: inline-block;"><a href="https://github.com/arXiv/arxiv-search/releases">Search v0.5.6 released 2020-02-24</a>  </span> </div> </div> </main> <footer> <div class="columns is-desktop" role="navigation" aria-label="Secondary">  <div class="column"> <div class="columns"> <div class="column"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/about">About</a></li> <li><a href="https://info.arxiv.org/help">Help</a></li> </ul> </div> <div class="column"> <ul class="nav-spaced"> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>contact arXiv</title><desc>Click here to contact arXiv</desc><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg> <a href="https://info.arxiv.org/help/contact.html"> Contact</a> </li> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>subscribe to arXiv mailings</title><desc>Click here to subscribe</desc><path d="M476 3.2L12.5 270.6c-18.1 10.4-15.8 35.6 2.2 43.2L121 358.4l287.3-253.2c5.5-4.9 13.3 2.6 8.6 8.3L176 407v80.5c0 23.6 28.5 32.9 42.5 15.8L282 426l124.6 52.2c14.2 6 30.4-2.9 33-18.2l72-432C515 7.8 493.3-6.8 476 3.2z"/></svg> <a href="https://info.arxiv.org/help/subscribe"> Subscribe</a> </li> </ul> </div> </div> </div>   <div class="column"> <div class="columns"> <div class="column"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/help/license/index.html">Copyright</a></li> <li><a href="https://info.arxiv.org/help/policies/privacy_policy.html">Privacy Policy</a></li> </ul> </div> <div class="column sorry-app-links"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/help/web_accessibility.html">Web Accessibility Assistance</a></li> <li> <p class="help"> <a class="a11y-main-link" href="https://status.arxiv.org" target="_blank">arXiv Operational Status <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 256 512" class="icon filter-dark_grey" role="presentation"><path d="M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z"/></svg></a><br> Get status notifications via <a class="is-link" href="https://subscribe.sorryapp.com/24846f03/email/new" target="_blank"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg>email</a> or <a class="is-link" href="https://subscribe.sorryapp.com/24846f03/slack/new" target="_blank"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 448 512" class="icon filter-black" role="presentation"><path d="M94.12 315.1c0 25.9-21.16 47.06-47.06 47.06S0 341 0 315.1c0-25.9 21.16-47.06 47.06-47.06h47.06v47.06zm23.72 0c0-25.9 21.16-47.06 47.06-47.06s47.06 21.16 47.06 47.06v117.84c0 25.9-21.16 47.06-47.06 47.06s-47.06-21.16-47.06-47.06V315.1zm47.06-188.98c-25.9 0-47.06-21.16-47.06-47.06S139 32 164.9 32s47.06 21.16 47.06 47.06v47.06H164.9zm0 23.72c25.9 0 47.06 21.16 47.06 47.06s-21.16 47.06-47.06 47.06H47.06C21.16 243.96 0 222.8 0 196.9s21.16-47.06 47.06-47.06H164.9zm188.98 47.06c0-25.9 21.16-47.06 47.06-47.06 25.9 0 47.06 21.16 47.06 47.06s-21.16 47.06-47.06 47.06h-47.06V196.9zm-23.72 0c0 25.9-21.16 47.06-47.06 47.06-25.9 0-47.06-21.16-47.06-47.06V79.06c0-25.9 21.16-47.06 47.06-47.06 25.9 0 47.06 21.16 47.06 47.06V196.9zM283.1 385.88c25.9 0 47.06 21.16 47.06 47.06 0 25.9-21.16 47.06-47.06 47.06-25.9 0-47.06-21.16-47.06-47.06v-47.06h47.06zm0-23.72c-25.9 0-47.06-21.16-47.06-47.06 0-25.9 21.16-47.06 47.06-47.06h117.84c25.9 0 47.06 21.16 47.06 47.06 0 25.9-21.16 47.06-47.06 47.06H283.1z"/></svg>slack</a> </p> </li> </ul> </div> </div> </div>  </div> </footer> <script src="https://static.arxiv.org/static/base/1.0.0a5/js/member_acknowledgement.js"></script> </body> </html>

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