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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/2408.06940">arXiv:2408.06940</a> <span> [<a href="https://arxiv.org/pdf/2408.06940">pdf</a>, <a href="https://arxiv.org/format/2408.06940">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link 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> <p class="title is-5 mathjax"> Spherical-oblate shape coexistence in $^{94}$Zr from a model-independent analysis </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/nucl-ex?searchtype=author&query=Marchini%2C+N">N. Marchini</a>, <a href="/search/nucl-ex?searchtype=author&query=Rocchini%2C+M">M. Rocchini</a>, <a href="/search/nucl-ex?searchtype=author&query=Zielinska%2C+M">M. Zielinska</a>, <a href="/search/nucl-ex?searchtype=author&query=Nannini%2C+A">A. Nannini</a>, <a href="/search/nucl-ex?searchtype=author&query=Doherty%2C+D+T">D. T. Doherty</a>, <a href="/search/nucl-ex?searchtype=author&query=Gavrielov%2C+N">N. Gavrielov</a>, <a href="/search/nucl-ex?searchtype=author&query=Garrett%2C+P+E">P. E. Garrett</a>, <a href="/search/nucl-ex?searchtype=author&query=Hadynska-Klek%2C+K">K. Hadynska-Klek</a>, <a href="/search/nucl-ex?searchtype=author&query=Goasduff%2C+A">A. Goasduff</a>, <a href="/search/nucl-ex?searchtype=author&query=Testov%2C+D">D. Testov</a>, <a href="/search/nucl-ex?searchtype=author&query=Bakes%2C+S+D">S. D. Bakes</a>, <a href="/search/nucl-ex?searchtype=author&query=Bazzacco%2C+D">D. Bazzacco</a>, <a href="/search/nucl-ex?searchtype=author&query=Benzoni%2C+G">G. Benzoni</a>, <a href="/search/nucl-ex?searchtype=author&query=Berry%2C+T">T. Berry</a>, <a href="/search/nucl-ex?searchtype=author&query=Brugnara%2C+D">D. Brugnara</a>, <a href="/search/nucl-ex?searchtype=author&query=Camera%2C+F">F. Camera</a>, <a href="/search/nucl-ex?searchtype=author&query=Catford%2C+W+N">W. N. Catford</a>, <a href="/search/nucl-ex?searchtype=author&query=Chiari%2C+M">M. Chiari</a>, <a href="/search/nucl-ex?searchtype=author&query=Galtarossa%2C+F">F. Galtarossa</a>, <a href="/search/nucl-ex?searchtype=author&query=Gelli%2C+N">N. Gelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Gottardo%2C+A">A. Gottardo</a>, <a href="/search/nucl-ex?searchtype=author&query=Gozzelino%2C+A">A. Gozzelino</a>, <a href="/search/nucl-ex?searchtype=author&query=Illana%2C+A">A. Illana</a>, <a href="/search/nucl-ex?searchtype=author&query=Keatings%2C+J">J. Keatings</a>, <a href="/search/nucl-ex?searchtype=author&query=Mengoni%2C+D">D. Mengoni</a> , et al. (11 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="2408.06940v1-abstract-short" style="display: inline;"> Low-lying states of $^{94}$Zr were investigated via low-energy multi-step Coulomb excitation. From the measured $纬$-ray yields, 13 reduced transition probabilities between low-spin states were determined, together with the spectroscopic quadrupole moments of the $2_{1,2}^+$ states. Based on this information, for the first time in the Zr isotopic chain, the shapes of the $0_{1,2}^+$ states includin… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.06940v1-abstract-full').style.display = 'inline'; document.getElementById('2408.06940v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2408.06940v1-abstract-full" style="display: none;"> Low-lying states of $^{94}$Zr were investigated via low-energy multi-step Coulomb excitation. From the measured $纬$-ray yields, 13 reduced transition probabilities between low-spin states were determined, together with the spectroscopic quadrupole moments of the $2_{1,2}^+$ states. Based on this information, for the first time in the Zr isotopic chain, the shapes of the $0_{1,2}^+$ states including their deformation softness were inferred in a model-independent way using the quadrupole sum rules approach. The ground state of $^{94}$Zr possesses a rather diffuse shape associated with a spherical configuration, while the $0_2^+$ state is oblate and more strongly deformed. The observed features of shape coexistence in $^{94}$Zr are in agreement with Monte-Carlo shell-model predictions, and the present results are vital to refine the IBM-CM description of the Zr isotopes around $A\approx 100$ in terms of an intertwined quantum phase transition. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.06940v1-abstract-full').style.display = 'none'; document.getElementById('2408.06940v1-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 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">6 pages, 3 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/1404.3603">arXiv:1404.3603</a> <span> [<a href="https://arxiv.org/pdf/1404.3603">pdf</a>, <a href="https://arxiv.org/ps/1404.3603">ps</a>, <a href="https://arxiv.org/format/1404.3603">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link 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/10.1088/0954-3899/41/7/075108">10.1088/0954-3899/41/7/075108 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Non-statistical decay and $伪$-correlations in the $^{12}$C+$^{12}$C fusion-evaporation reaction at 95 MeV </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/nucl-ex?searchtype=author&query=Morelli%2C+L">L. Morelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Baiocco%2C+G">G. Baiocco</a>, <a href="/search/nucl-ex?searchtype=author&query=D%27Agostino%2C+M">M. D'Agostino</a>, <a href="/search/nucl-ex?searchtype=author&query=Gulminelli%2C+F">F. Gulminelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Bruno%2C+M">M. Bruno</a>, <a href="/search/nucl-ex?searchtype=author&query=Abbondanno%2C+U">U. Abbondanno</a>, <a href="/search/nucl-ex?searchtype=author&query=Appannababu%2C+S">S. Appannababu</a>, <a href="/search/nucl-ex?searchtype=author&query=Barlini%2C+S">S. Barlini</a>, <a href="/search/nucl-ex?searchtype=author&query=Bini%2C+M">M. Bini</a>, <a href="/search/nucl-ex?searchtype=author&query=Casini%2C+G">G. Casini</a>, <a href="/search/nucl-ex?searchtype=author&query=Cinausero%2C+M">M. Cinausero</a>, <a href="/search/nucl-ex?searchtype=author&query=Degerlier%2C+M">M. Degerlier</a>, <a href="/search/nucl-ex?searchtype=author&query=Fabris%2C+D">D. Fabris</a>, <a href="/search/nucl-ex?searchtype=author&query=Gelli%2C+N">N. Gelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Gramegna%2C+F">F. Gramegna</a>, <a href="/search/nucl-ex?searchtype=author&query=Kravchuk%2C+V+L">V. L. Kravchuk</a>, <a href="/search/nucl-ex?searchtype=author&query=Marchi%2C+T">T. Marchi</a>, <a href="/search/nucl-ex?searchtype=author&query=Pasquali%2C+G">G. Pasquali</a>, <a href="/search/nucl-ex?searchtype=author&query=Piantelli%2C+S">S. Piantelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Valdr%C3%A9%2C+S">S. Valdr茅</a>, <a href="/search/nucl-ex?searchtype=author&query=Raduta%2C+A+R">Ad R. Raduta</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="1404.3603v1-abstract-short" style="display: inline;"> Multiple alpha coincidence and correlations are studied in the reaction $^{12}$C+$^{12}$C at 95 MeV for fusion-evaporation events completely detected in charge. Two specific channels with Carbon and Oxygen residues in coincidence with $伪$-particles are addressed, which are associated with anomalously high branching ratios with respect the predictions by Hauser-Feshbach calculations. Triple alpha e… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1404.3603v1-abstract-full').style.display = 'inline'; document.getElementById('1404.3603v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1404.3603v1-abstract-full" style="display: none;"> Multiple alpha coincidence and correlations are studied in the reaction $^{12}$C+$^{12}$C at 95 MeV for fusion-evaporation events completely detected in charge. Two specific channels with Carbon and Oxygen residues in coincidence with $伪$-particles are addressed, which are associated with anomalously high branching ratios with respect the predictions by Hauser-Feshbach calculations. Triple alpha emission appears kinematically compatible with a sequential emission from a highly excited Mg. The phase space distribution of $伪$-$伪$ coincidences suggests a correlated emission from a Mg compound, leaving an Oxygen residue excited above the threshold for neutron decay. These observations indicate a preferential $伪$ emission of $^{24}$Mg at excitation energies well above the threshold for $6-伪$ decay. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1404.3603v1-abstract-full').style.display = 'none'; document.getElementById('1404.3603v1-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 April, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2014. </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">21 pages, 17 figures, second paper of a series of two</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1404.3601">arXiv:1404.3601</a> <span> [<a href="https://arxiv.org/pdf/1404.3601">pdf</a>, <a href="https://arxiv.org/ps/1404.3601">ps</a>, <a href="https://arxiv.org/format/1404.3601">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link 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/10.1088/0954-3899/41/7/075107">10.1088/0954-3899/41/7/075107 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Thermal properties of light nuclei from $^{12}$C+$^{12}$C fusion-evaporation reactions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/nucl-ex?searchtype=author&query=Morelli%2C+L">L Morelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Baiocco%2C+G">G Baiocco</a>, <a href="/search/nucl-ex?searchtype=author&query=D%27Agostino%2C+M">M D'Agostino</a>, <a href="/search/nucl-ex?searchtype=author&query=Gulminelli%2C+F">F Gulminelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Bruno%2C+M">M Bruno</a>, <a href="/search/nucl-ex?searchtype=author&query=Abbondanno%2C+U">U Abbondanno</a>, <a href="/search/nucl-ex?searchtype=author&query=Appannababu%2C+S">S Appannababu</a>, <a href="/search/nucl-ex?searchtype=author&query=Barlini%2C+S">S Barlini</a>, <a href="/search/nucl-ex?searchtype=author&query=Bini%2C+M">M Bini</a>, <a href="/search/nucl-ex?searchtype=author&query=Casini%2C+G">G Casini</a>, <a href="/search/nucl-ex?searchtype=author&query=Cinausero%2C+M">M Cinausero</a>, <a href="/search/nucl-ex?searchtype=author&query=Degerlier%2C+M">M Degerlier</a>, <a href="/search/nucl-ex?searchtype=author&query=Fabris%2C+D">D Fabris</a>, <a href="/search/nucl-ex?searchtype=author&query=Gelli%2C+N">N Gelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Gramegna%2C+F">F Gramegna</a>, <a href="/search/nucl-ex?searchtype=author&query=Kravchuk%2C+V+L">V L Kravchuk</a>, <a href="/search/nucl-ex?searchtype=author&query=Marchi%2C+T">T Marchi</a>, <a href="/search/nucl-ex?searchtype=author&query=Pasquali%2C+G">G Pasquali</a>, <a href="/search/nucl-ex?searchtype=author&query=Piantelli%2C+S">S Piantelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Valdr%C3%A9%2C+S">S Valdr茅</a>, <a href="/search/nucl-ex?searchtype=author&query=Raduta%2C+A+R">Ad R Raduta</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="1404.3601v1-abstract-short" style="display: inline;"> The $^{12}$C+$^{12}$C reaction at 95 MeV has been studied through the complete charge identification of its products by means of the GARFIELD+RCo experimental set-up at INFN Laboratori Nazionali di Legnaro (LNL). In this paper, the first of a series of two, a comparison to a dedicated Hauser-Feshbach calculation allows to select a set of dissipative events which corresponds, to a large extent, to… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1404.3601v1-abstract-full').style.display = 'inline'; document.getElementById('1404.3601v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1404.3601v1-abstract-full" style="display: none;"> The $^{12}$C+$^{12}$C reaction at 95 MeV has been studied through the complete charge identification of its products by means of the GARFIELD+RCo experimental set-up at INFN Laboratori Nazionali di Legnaro (LNL). In this paper, the first of a series of two, a comparison to a dedicated Hauser-Feshbach calculation allows to select a set of dissipative events which corresponds, to a large extent, to the statistical evaporation of highly excited $^{24}$Mg. Information on the isotopic distribution of the evaporation residues in coincidence with their complete evaporation chain is also extracted. The set of data puts strong constraints on the behaviour of the level density of light nuclei above the threshold for particle emission. In particular, a fast increase of the level density parameter with excitation energy is supported by the data. Residual deviations from a statistical behaviour are seen in two specific channels, and tentatively associated with a contamination from direct reactions and/or $伪$-clustering effects. These channels are studied in further details in the second paper of the series. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1404.3601v1-abstract-full').style.display = 'none'; document.getElementById('1404.3601v1-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 April, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2014. </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, 15 figures, first paper of a series of two</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1309.0323">arXiv:1309.0323</a> <span> [<a href="https://arxiv.org/pdf/1309.0323">pdf</a>, <a href="https://arxiv.org/ps/1309.0323">ps</a>, <a href="https://arxiv.org/format/1309.0323">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link 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/10.1051/epjconf/20146603064">10.1051/epjconf/20146603064 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Probing the statistical decay and alpha-clustering effects in 12c+12c and 14n+10b reactions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/nucl-ex?searchtype=author&query=Morelli%2C+L">Luca Morelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Baiocco%2C+G">G. Baiocco</a>, <a href="/search/nucl-ex?searchtype=author&query=Agostino%2C+M+D">M. D Agostino</a>, <a href="/search/nucl-ex?searchtype=author&query=Bruno%2C+M">M. Bruno</a>, <a href="/search/nucl-ex?searchtype=author&query=Gulminelli%2C+F">F. Gulminelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Cinausero%2C+M">M. Cinausero</a>, <a href="/search/nucl-ex?searchtype=author&query=Degerlier%2C+M">M. Degerlier</a>, <a href="/search/nucl-ex?searchtype=author&query=Fabris%2C+D">D. Fabris</a>, <a href="/search/nucl-ex?searchtype=author&query=Gramegna%2C+F">F. Gramegna</a>, <a href="/search/nucl-ex?searchtype=author&query=Marchi%2C+T">T. Marchi</a>, <a href="/search/nucl-ex?searchtype=author&query=Barlini%2C+S">S. Barlini</a>, <a href="/search/nucl-ex?searchtype=author&query=Bini%2C+M">M. Bini</a>, <a href="/search/nucl-ex?searchtype=author&query=Casini%2C+G">G. Casini</a>, <a href="/search/nucl-ex?searchtype=author&query=Gelli%2C+N">N. Gelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Lopez%2C+A">A. Lopez</a>, <a href="/search/nucl-ex?searchtype=author&query=Pasquali%2C+G">G. Pasquali</a>, <a href="/search/nucl-ex?searchtype=author&query=Piantelli%2C+S">S. Piantelli</a>, <a href="/search/nucl-ex?searchtype=author&query=Valdre%27%2C+S">S. Valdre'</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="1309.0323v1-abstract-short" style="display: inline;"> An experimental campaign has been undertaken at INFN Laboratori Nazionali di Legnaro, Italy, in order to progress in our understanding of the statistical properties of light nuclei at excitation energies above particle emission threshold, by measuring exclusive data from fusion-evaporation reactions. A first reaction 12C+12C at 7.9 AMeV beam energy has been measured, using the GARFIELD+Ring Counte… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1309.0323v1-abstract-full').style.display = 'inline'; document.getElementById('1309.0323v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1309.0323v1-abstract-full" style="display: none;"> An experimental campaign has been undertaken at INFN Laboratori Nazionali di Legnaro, Italy, in order to progress in our understanding of the statistical properties of light nuclei at excitation energies above particle emission threshold, by measuring exclusive data from fusion-evaporation reactions. A first reaction 12C+12C at 7.9 AMeV beam energy has been measured, using the GARFIELD+Ring Counter experimental setup. Fusion-evaporation events have been exclusively selected. The comparison to a dedicated Hauser-Feshbach calculation allows us to give constraints on the nuclear level density at high excitation energy for light systems ranging from C up to Mg. Out-of-equilibrium emission has been evidenced and attributed both to entrance channel effects favoured by the cluster nature of reaction partners and, in more dissipative events, to the persistence of cluster correlations well above the 24Mg threshold for 6 alphas decay. The 24Mg compound nucleus has been studied with a new measurement 14N + 10B at 5.7 AMeV. The comparison between the two datasets would allow us to further constrain the level density of light nuclei. Deviations from a statistical behaviour can be analyzed to get information on nuclear clustering. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1309.0323v1-abstract-full').style.display = 'none'; document.getElementById('1309.0323v1-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 September, 2013; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 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">4 pages, 2 figures, Contribution to conference proceedings of the 25th International Nuclear Physics Conference (INPC 2013)</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> 25th International Nuclear Physics Conference (INPC2013), Firenze : Italy (2013) </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 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