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a{color:var(--color-progressive)!important}}@media print{body.ns-0 .mw-parser-output .sidebar{display:none!important}}</style><table class="sidebar sidebar-collapse nomobile nowraplinks"><tbody><tr><th class="sidebar-title"><a href="/wiki/Nuclear_physics" title="Nuclear physics">Nuclear physics</a></th></tr><tr><td class="sidebar-image"><span typeof="mw:File"><a href="/wiki/File:NuclearReaction.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4b/NuclearReaction.svg/200px-NuclearReaction.svg.png" decoding="async" width="200" height="127" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4b/NuclearReaction.svg/300px-NuclearReaction.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4b/NuclearReaction.svg/400px-NuclearReaction.svg.png 2x" data-file-width="550" data-file-height="350" /></a></span></td></tr><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Atomic_nucleus" title="Atomic nucleus">Nucleus</a></li> <li><a href="/wiki/Nucleon" title="Nucleon">Nucleons</a> <ul><li><a href="/wiki/Proton" title="Proton">p</a></li> <li><a href="/wiki/Neutron" title="Neutron">n</a></li></ul></li> <li><a href="/wiki/Nuclear_matter" title="Nuclear matter">Nuclear matter</a></li> <li><a href="/wiki/Nuclear_force" title="Nuclear force">Nuclear force</a></li> <li><a href="/wiki/Nuclear_structure" title="Nuclear structure">Nuclear structure</a></li> <li><a href="/wiki/Nuclear_reaction" title="Nuclear reaction">Nuclear reaction</a></li></ul></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><a href="/wiki/Nuclear_model" class="mw-redirect" title="Nuclear model">Models of the nucleus</a></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Semi-empirical_mass_formula" title="Semi-empirical mass formula">Liquid drop</a></li> <li><a href="/wiki/Nuclear_shell_model" title="Nuclear shell model">Nuclear shell model</a></li> <li><a href="/wiki/Interacting_boson_model" title="Interacting boson model">Interacting boson model</a></li> <li><a class="mw-selflink selflink">Ab initio</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><a href="/wiki/Nuclide" title="Nuclide">Nuclides</a>' classification</div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Isotope" title="Isotope">Isotopes</a> – equal <a href="/wiki/Atomic_number" title="Atomic number"><i>Z</i></a><br /></li></ul> <ul><li><a href="/wiki/Isobar_(nuclide)" title="Isobar (nuclide)">Isobars</a> – equal <a href="/wiki/Mass_number" title="Mass number"><i>A</i></a></li></ul> <ul><li><a href="/wiki/Isotone" title="Isotone">Isotones</a> – equal <a href="/wiki/Neutron_number" title="Neutron number"><i>N</i></a></li></ul> <ul><li><a href="/wiki/Isodiapher" class="mw-redirect" title="Isodiapher">Isodiaphers</a> – equal <a href="/wiki/Neutron_excess" class="mw-redirect" title="Neutron excess"><i>N</i> − <i>Z</i></a></li></ul> <ul><li><a href="/wiki/Nuclear_isomer" title="Nuclear isomer">Isomers</a> – equal all the above</li></ul> <ul><li><a href="/wiki/Mirror_nuclei" title="Mirror nuclei">Mirror nuclei</a> – <i>Z</i> ↔ <i>N</i></li></ul> <ul><li><a href="/wiki/Stable_isotope" class="mw-redirect" title="Stable isotope">Stable</a></li> <li><a href="/wiki/Magic_number_(physics)" title="Magic number (physics)">Magic</a></li> <li><a href="/wiki/Even_and_odd_atomic_nuclei" title="Even and odd atomic nuclei">Even/odd</a></li> <li><a href="/wiki/Halo_nucleus" title="Halo nucleus">Halo</a> <ul><li><a href="/wiki/Borromean_nucleus" title="Borromean nucleus">Borromean</a></li></ul></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)">Nuclear stability</div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Nuclear_binding_energy" title="Nuclear binding energy">Binding energy</a></li> <li><a href="/wiki/Proton%E2%80%93neutron_ratio" class="mw-redirect" title="Proton–neutron ratio">p–n ratio</a></li> <li><a href="/wiki/Nuclear_drip_line" title="Nuclear drip line">Drip line</a></li> <li><a href="/wiki/Island_of_stability" title="Island of stability">Island of stability</a></li> <li><a href="/wiki/Valley_of_stability" title="Valley of stability">Valley of stability</a></li> <li><a href="/wiki/Stable_nuclide" title="Stable nuclide">Stable nuclide</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><a href="/wiki/Radioactive_decay" title="Radioactive decay">Radioactive decay</a></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Alpha_decay" title="Alpha decay">Alpha α</a></li> <li><a href="/wiki/Beta_decay" title="Beta decay">Beta β</a> <ul><li><a href="/wiki/Double_beta_decay" title="Double beta decay">2β</a> <ul><li><a href="/wiki/Neutrinoless_double_beta_decay" title="Neutrinoless double beta decay">0v</a></li></ul></li> <li><a href="/wiki/Positron_emission" title="Positron emission">β<sup>+</sup></a></li></ul></li> <li><a href="/wiki/Electron_capture" title="Electron capture">K/L capture</a></li> <li><a href="/wiki/Isomeric_transition" class="mw-redirect" title="Isomeric transition">Isomeric</a> <ul><li><a href="/wiki/Gamma_ray" title="Gamma ray">Gamma γ</a></li> <li><a href="/wiki/Internal_conversion" title="Internal conversion">Internal conversion</a></li></ul></li> <li><a href="/wiki/Spontaneous_fission" title="Spontaneous fission">Spontaneous fission</a></li> <li><a href="/wiki/Cluster_decay" title="Cluster decay">Cluster decay</a></li> <li><a href="/wiki/Neutron_emission" title="Neutron emission">Neutron emission</a></li> <li><a href="/wiki/Proton_emission" title="Proton emission">Proton emission</a></li></ul> <ul><li><a href="/wiki/Decay_energy" title="Decay energy">Decay energy</a></li> <li><a href="/wiki/Decay_chain" title="Decay chain">Decay chain</a></li> <li><a href="/wiki/Decay_product" title="Decay product">Decay product</a></li> <li><a href="/wiki/Radiogenic_nuclide" title="Radiogenic nuclide">Radiogenic nuclide</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><a href="/wiki/Nuclear_fission" title="Nuclear fission">Nuclear fission</a></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Spontaneous_fission" title="Spontaneous fission">Spontaneous</a></li> <li><a href="/wiki/Nuclear_fission_product" title="Nuclear fission product">Products</a> <ul><li><a href="/wiki/Nucleon_pair_breaking_in_fission" title="Nucleon pair breaking in fission">pair breaking</a></li></ul></li> <li><a href="/wiki/Photofission" title="Photofission">Photofission</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)">Capturing processes</div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Electron_capture" title="Electron capture">electron</a> <ul><li><a href="/wiki/Double_electron_capture" title="Double electron capture">2×</a></li></ul></li> <li><a href="/wiki/Neutron_capture" title="Neutron capture">neutron</a> <ul><li><a href="/wiki/S-process" title="S-process">s</a></li> <li><a href="/wiki/R-process" title="R-process">r</a></li></ul></li> <li><a href="/wiki/Proton_capture" title="Proton capture">proton</a> <ul><li><a href="/wiki/P-process" title="P-process">p</a></li> <li><a href="/wiki/Rp-process" title="Rp-process">rp</a></li></ul></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)">High-energy processes</div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Spallation" title="Spallation">Spallation</a> <ul><li><a href="/wiki/Cosmic_ray_spallation" title="Cosmic ray spallation">by cosmic ray</a></li></ul></li> <li><a href="/wiki/Photodisintegration" title="Photodisintegration">Photodisintegration</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><a href="/wiki/Nucleosynthesis" title="Nucleosynthesis">Nucleosynthesis</a> and<br /> <a href="/wiki/Nuclear_astrophysics" title="Nuclear astrophysics">nuclear astrophysics</a></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Nuclear_fusion" title="Nuclear fusion">Nuclear fusion</a></li></ul> <ul><li><small>Processes:</small> <ul><li><a href="/wiki/Stellar_nucleosynthesis" title="Stellar nucleosynthesis">Stellar</a></li> <li><a href="/wiki/Big_Bang_nucleosynthesis" title="Big Bang nucleosynthesis">Big Bang</a></li> <li><a href="/wiki/Supernova_nucleosynthesis" title="Supernova nucleosynthesis">Supernova</a></li></ul></li></ul> <ul><li>Nuclides: <ul><li><a href="/wiki/Primordial_nuclide" title="Primordial nuclide">Primordial</a></li> <li><a href="/wiki/Cosmogenic_nuclide" title="Cosmogenic nuclide">Cosmogenic</a></li> <li><a href="/wiki/Synthetic_element" title="Synthetic element">Artificial</a></li></ul></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><a href="/wiki/High-energy_nuclear_physics" title="High-energy nuclear physics">High-energy nuclear physics</a></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Quark%E2%80%93gluon_plasma" title="Quark–gluon plasma">Quark–gluon plasma</a></li> <li><a href="/wiki/Relativistic_Heavy_Ion_Collider" title="Relativistic Heavy Ion Collider">RHIC</a></li> <li><a href="/wiki/Large_Hadron_Collider" title="Large Hadron Collider">LHC</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><a href="/wiki/Category:Nuclear_physicists" title="Category:Nuclear physicists">Scientists</a></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Luis_Walter_Alvarez" title="Luis Walter Alvarez">Alvarez</a></li> <li><a href="/wiki/Henri_Becquerel" title="Henri Becquerel">Becquerel</a></li> <li><a href="/wiki/Hans_Bethe" title="Hans Bethe">Bethe</a></li> <li><a href="/wiki/Aage_Bohr" title="Aage Bohr">A. Bohr</a></li> <li><a href="/wiki/Niels_Bohr" title="Niels Bohr">N. Bohr</a></li> <li><a href="/wiki/James_Chadwick" title="James Chadwick">Chadwick</a></li> <li><a href="/wiki/John_Cockcroft" title="John Cockcroft">Cockcroft</a></li> <li><a href="/wiki/Ir%C3%A8ne_Joliot-Curie" title="Irène Joliot-Curie">Ir. Curie</a></li> <li><a href="/wiki/Fr%C3%A9d%C3%A9ric_Joliot-Curie" title="Frédéric Joliot-Curie">Fr. Curie</a></li> <li><a href="/wiki/Pierre_Curie" title="Pierre Curie">Pi. Curie</a></li> <li><a href="/wiki/Marie_Curie" title="Marie Curie">Skłodowska-Curie</a></li> <li><a href="/wiki/Clinton_Davisson" title="Clinton Davisson">Davisson</a></li> <li><a href="/wiki/Enrico_Fermi" title="Enrico Fermi">Fermi</a></li> <li><a href="/wiki/Otto_Hahn" title="Otto Hahn">Hahn</a></li> <li><a href="/wiki/J._Hans_D._Jensen" title="J. Hans D. Jensen">Jensen</a></li> <li><a href="/wiki/Ernest_Lawrence" title="Ernest Lawrence">Lawrence</a></li> <li><a href="/wiki/Maria_Goeppert-Mayer" class="mw-redirect" title="Maria Goeppert-Mayer">Mayer</a></li> <li><a href="/wiki/Lise_Meitner" title="Lise Meitner">Meitner</a></li> <li><a href="/wiki/Mark_Oliphant" title="Mark Oliphant">Oliphant</a></li> <li><a href="/wiki/J._Robert_Oppenheimer" title="J. Robert Oppenheimer">Oppenheimer</a></li> <li><a href="/wiki/Alexandru_Proca" title="Alexandru Proca">Proca</a></li> <li><a href="/wiki/Edward_Mills_Purcell" title="Edward Mills Purcell">Purcell</a></li> <li><a href="/wiki/Isidor_Isaac_Rabi" title="Isidor Isaac Rabi">Rabi</a></li> <li><a href="/wiki/Ernest_Rutherford" title="Ernest Rutherford">Rutherford</a></li> <li><a href="/wiki/Frederick_Soddy" title="Frederick Soddy">Soddy</a></li> <li><a href="/wiki/Fritz_Strassmann" title="Fritz Strassmann">Strassmann</a></li> <li><a href="/wiki/W%C5%82adys%C5%82aw_%C5%9Awi%C4%85tecki_(physicist)" title="Władysław Świątecki (physicist)">Świątecki</a></li> <li><a href="/wiki/Le%C3%B3_Szil%C3%A1rd" class="mw-redirect" title="Leó Szilárd">Szilárd</a></li> <li><a href="/wiki/Edward_Teller" title="Edward Teller">Teller</a></li> <li><a href="/wiki/J._J._Thomson" title="J. J. Thomson">Thomson</a></li> <li><a href="/wiki/Ernest_Walton" title="Ernest Walton">Walton</a></li> <li><a href="/wiki/Eugene_Wigner" title="Eugene Wigner">Wigner</a></li></ul></div></div></td> </tr><tr><td class="sidebar-below hlist" style="background-color: transparent; border-color: #A2B8BF"> <ul><li><span class="nowrap"><span class="nowrap"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/14px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png" decoding="async" width="14" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/21px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/28px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png 2x" data-file-width="530" data-file-height="600" /></a></span> </span><a href="/wiki/Portal:Physics" title="Portal:Physics">Physics portal</a></span></li> <li><span class="nowrap"><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Category:Nuclear_physics" title="Category:Nuclear physics">Category</a></span></li></ul></td></tr><tr><td class="sidebar-navbar"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Nuclear_physics" title="Template:Nuclear physics"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Nuclear_physics" title="Template talk:Nuclear physics"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Nuclear_physics" title="Special:EditPage/Template:Nuclear physics"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> <p>In <a href="/wiki/Nuclear_physics" title="Nuclear physics">nuclear physics</a>, <b>ab initio methods</b> seek to describe the <a href="/wiki/Atomic_nucleus" title="Atomic nucleus">atomic nucleus</a> from the bottom up by solving the non-relativistic <a href="/wiki/Schr%C3%B6dinger_equation" title="Schrödinger equation">Schrödinger equation</a> for all constituent <a href="/wiki/Nucleon" title="Nucleon">nucleons</a> and the forces between them. This is done either exactly for very light nuclei (up to four nucleons) or by employing certain well-controlled approximations for heavier nuclei. Ab initio methods constitute a more fundamental approach compared to e.g. the <a href="/wiki/Nuclear_shell_model" title="Nuclear shell model">nuclear shell model</a>. Recent progress has enabled ab initio treatment of heavier nuclei such as <a href="/wiki/Isotopes_of_nickel" title="Isotopes of nickel">nickel</a>.<sup id="cite_ref-navratil2016_1-0" class="reference"><a href="#cite_note-navratil2016-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p>A significant challenge in the ab initio treatment stems from the complexities of the inter-nucleon interaction. The <a href="/wiki/Nuclear_force" title="Nuclear force">strong nuclear force</a> is believed to emerge from the <a href="/wiki/Strong_interaction" title="Strong interaction">strong interaction</a> described by <a href="/wiki/Quantum_chromodynamics" title="Quantum chromodynamics">quantum chromodynamics</a> (QCD), but QCD is non-perturbative in the low-energy regime relevant to nuclear physics. This makes the direct use of QCD for the description of the inter-nucleon interactions very difficult (see <a href="/wiki/Lattice_QCD" title="Lattice QCD">lattice QCD</a>), and a model must be used instead. The most sophisticated models available are based on <a href="/wiki/Chiral_perturbation_theory" title="Chiral perturbation theory">chiral effective field theory</a>. This <a href="/wiki/Effective_field_theory" title="Effective field theory">effective field theory</a> (EFT) includes all interactions compatible with the symmetries of QCD, ordered by the size of their contributions. The degrees of freedom in this theory are nucleons and <a href="/wiki/Pion" title="Pion">pions</a>, as opposed to <a href="/wiki/Quark" title="Quark">quarks</a> and <a href="/wiki/Gluon" title="Gluon">gluons</a> as in QCD. The effective theory contains parameters called low-energy constants, which can be determined from scattering data.<sup id="cite_ref-navratil2016_1-1" class="reference"><a href="#cite_note-navratil2016-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-machleidt2011_2-0" class="reference"><a href="#cite_note-machleidt2011-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>Chiral EFT implies the existence of <a href="/wiki/Many-body_force" class="mw-redirect" title="Many-body force">many-body forces</a>, most notably the three-nucleon interaction which is known to be an essential ingredient in the nuclear many-body problem.<sup id="cite_ref-navratil2016_1-2" class="reference"><a href="#cite_note-navratil2016-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-machleidt2011_2-1" class="reference"><a href="#cite_note-machleidt2011-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>After arriving at a <a href="/wiki/Hamiltonian_(quantum_mechanics)" title="Hamiltonian (quantum mechanics)">Hamiltonian</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle H}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>H</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle H}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/75a9edddcca2f782014371f75dca39d7e13a9c1b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.064ex; height:2.176ex;" alt="{\displaystyle H}"></span> (based on chiral EFT or other models) one must solve the Schrödinger equation <span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle H\vert {\Psi }\rangle =E\vert {\Psi }\rangle ,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>H</mi> <mo fence="false" stretchy="false">|</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">Ψ</mi> </mrow> <mo fence="false" stretchy="false">⟩</mo> <mo>=</mo> <mi>E</mi> <mo fence="false" stretchy="false">|</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">Ψ</mi> </mrow> <mo fence="false" stretchy="false">⟩</mo> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle H\vert {\Psi }\rangle =E\vert {\Psi }\rangle ,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/94f2ef0a38baf513beb5468e33ee232e2d0dc953" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.304ex; height:2.843ex;" alt="{\displaystyle H\vert {\Psi }\rangle =E\vert {\Psi }\rangle ,}"></span> where <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \vert {\Psi }\rangle }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo fence="false" stretchy="false">|</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">Ψ</mi> </mrow> <mo fence="false" stretchy="false">⟩</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \vert {\Psi }\rangle }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8aa33d818704ea88d33815f3c3649cd6774306aa" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.36ex; height:2.843ex;" alt="{\displaystyle \vert {\Psi }\rangle }"></span> is the many-body wavefunction of the <a href="/wiki/Mass_number" title="Mass number"><i>A</i></a> nucleons in the nucleus. Various ab initio methods have been devised to numerically find solutions to this equation: </p> <ul><li>Green's function Monte Carlo (GFMC)<sup id="cite_ref-pieper2001_3-0" class="reference"><a href="#cite_note-pieper2001-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup></li> <li>No-core shell model (NCSM)<sup id="cite_ref-barrett2013_4-0" class="reference"><a href="#cite_note-barrett2013-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup></li> <li><a href="/wiki/Coupled_cluster" title="Coupled cluster">Coupled cluster</a> (CC)<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup></li> <li>Self-consistent Green's function (SCGF)<sup id="cite_ref-cipollone2013_6-0" class="reference"><a href="#cite_note-cipollone2013-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup></li> <li>In-medium similarity renormalization group (IM-SRG)<sup id="cite_ref-hergert2013_7-0" class="reference"><a href="#cite_note-hergert2013-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup></li></ul> <div class="mw-heading mw-heading2"><h2 id="Further_reading">Further reading</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ab_initio_methods_(nuclear_physics)&action=edit&section=1" title="Edit section: Further reading"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFDean2007" class="citation journal cs1">Dean, D. (2007). <a rel="nofollow" class="external text" href="https://zenodo.org/record/1232029">"Beyond the nuclear shell model"</a>. <i>Physics Today</i>. <b>60</b> (11): 48. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2007PhT....60k..48D">2007PhT....60k..48D</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1063%2F1.2812123">10.1063/1.2812123</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Physics+Today&rft.atitle=Beyond+the+nuclear+shell+model&rft.volume=60&rft.issue=11&rft.pages=48&rft.date=2007&rft_id=info%3Adoi%2F10.1063%2F1.2812123&rft_id=info%3Abibcode%2F2007PhT....60k..48D&rft.aulast=Dean&rft.aufirst=D.&rft_id=https%3A%2F%2Fzenodo.org%2Frecord%2F1232029&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAb+initio+methods+%28nuclear+physics%29" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFZastrow2017" class="citation journal cs1">Zastrow, M. (2017). <a rel="nofollow" class="external text" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5441833">"In search for "magic" nuclei, theory catches up to experiments"</a>. <i>Proc Natl Acad Sci U S A</i>. <b>114</b> (20): 5060–5062. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2017PNAS..114.5060Z">2017PNAS..114.5060Z</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1073%2Fpnas.1703620114">10.1073/pnas.1703620114</a></span>. <a href="/wiki/PMC_(identifier)" class="mw-redirect" title="PMC (identifier)">PMC</a> <span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5441833">5441833</a></span>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/28512181">28512181</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Proc+Natl+Acad+Sci+U+S+A&rft.atitle=In+search+for+%22magic%22+nuclei%2C+theory+catches+up+to+experiments&rft.volume=114&rft.issue=20&rft.pages=5060-5062&rft.date=2017&rft_id=https%3A%2F%2Fwww.ncbi.nlm.nih.gov%2Fpmc%2Farticles%2FPMC5441833%23id-name%3DPMC&rft_id=info%3Apmid%2F28512181&rft_id=info%3Adoi%2F10.1073%2Fpnas.1703620114&rft_id=info%3Abibcode%2F2017PNAS..114.5060Z&rft.aulast=Zastrow&rft.aufirst=M.&rft_id=https%3A%2F%2Fwww.ncbi.nlm.nih.gov%2Fpmc%2Farticles%2FPMC5441833&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAb+initio+methods+%28nuclear+physics%29" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ab_initio_methods_(nuclear_physics)&action=edit&section=2" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-navratil2016-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-navratil2016_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-navratil2016_1-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-navratil2016_1-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFNavrátilQuaglioniHupinRomero-Redondo2016" class="citation journal cs1">Navrátil, P.; Quaglioni, S.; Hupin, G.; Romero-Redondo, C.; Calci, A. (2016). "Unified ab initio approaches to nuclear structure and reactions". <i>Physica Scripta</i>. <b>91</b> (5): 053002. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1601.03765">1601.03765</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2016PhyS...91e3002N">2016PhyS...91e3002N</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1088%2F0031-8949%2F91%2F5%2F053002">10.1088/0031-8949/91/5/053002</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:119280384">119280384</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Physica+Scripta&rft.atitle=Unified+ab+initio+approaches+to+nuclear+structure+and+reactions&rft.volume=91&rft.issue=5&rft.pages=053002&rft.date=2016&rft_id=info%3Aarxiv%2F1601.03765&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A119280384%23id-name%3DS2CID&rft_id=info%3Adoi%2F10.1088%2F0031-8949%2F91%2F5%2F053002&rft_id=info%3Abibcode%2F2016PhyS...91e3002N&rft.aulast=Navr%C3%A1til&rft.aufirst=P.&rft.au=Quaglioni%2C+S.&rft.au=Hupin%2C+G.&rft.au=Romero-Redondo%2C+C.&rft.au=Calci%2C+A.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAb+initio+methods+%28nuclear+physics%29" class="Z3988"></span></span> </li> <li id="cite_note-machleidt2011-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-machleidt2011_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-machleidt2011_2-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMachleidtEntem2011" class="citation journal cs1">Machleidt, R.; Entem, D.R. (2011). "Chiral effective field theory and nuclear forces". <i>Physics Reports</i>. <b>503</b> (1): 1–75. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1105.2919">1105.2919</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2011PhR...503....1M">2011PhR...503....1M</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.physrep.2011.02.001">10.1016/j.physrep.2011.02.001</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:118434586">118434586</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Physics+Reports&rft.atitle=Chiral+effective+field+theory+and+nuclear+forces&rft.volume=503&rft.issue=1&rft.pages=1-75&rft.date=2011&rft_id=info%3Aarxiv%2F1105.2919&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A118434586%23id-name%3DS2CID&rft_id=info%3Adoi%2F10.1016%2Fj.physrep.2011.02.001&rft_id=info%3Abibcode%2F2011PhR...503....1M&rft.aulast=Machleidt&rft.aufirst=R.&rft.au=Entem%2C+D.R.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAb+initio+methods+%28nuclear+physics%29" class="Z3988"></span></span> </li> <li id="cite_note-pieper2001-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-pieper2001_3-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPieperWiringa2001" class="citation journal cs1">Pieper, S. C.; Wiringa, R. B. (2001). <a rel="nofollow" class="external text" href="https://doi.org/10.1146%2Fannurev.nucl.51.101701.132506">"Quantum Monte Carlo calculations of light nuclei"</a>. <i><a href="/wiki/Annual_Review_of_Nuclear_and_Particle_Science" title="Annual Review of Nuclear and Particle Science">Annual Review of Nuclear and Particle Science</a></i>. <b>51</b>: 53–90. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/nucl-th/0103005">nucl-th/0103005</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2001ARNPS..51...53P">2001ARNPS..51...53P</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1146%2Fannurev.nucl.51.101701.132506">10.1146/annurev.nucl.51.101701.132506</a></span>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:18124819">18124819</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Annual+Review+of+Nuclear+and+Particle+Science&rft.atitle=Quantum+Monte+Carlo+calculations+of+light+nuclei&rft.volume=51&rft.pages=53-90&rft.date=2001&rft_id=info%3Aarxiv%2Fnucl-th%2F0103005&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A18124819%23id-name%3DS2CID&rft_id=info%3Adoi%2F10.1146%2Fannurev.nucl.51.101701.132506&rft_id=info%3Abibcode%2F2001ARNPS..51...53P&rft.aulast=Pieper&rft.aufirst=S.+C.&rft.au=Wiringa%2C+R.+B.&rft_id=https%3A%2F%2Fdoi.org%2F10.1146%252Fannurev.nucl.51.101701.132506&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAb+initio+methods+%28nuclear+physics%29" class="Z3988"></span></span> </li> <li id="cite_note-barrett2013-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-barrett2013_4-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBarrettNavrátilVary2013" class="citation journal cs1">Barrett, B.R.; Navrátil, P.; Vary, J.P. (2013). <a rel="nofollow" class="external text" href="https://digital.library.unt.edu/ark:/67531/metadc1415883/">"Ab initio no core shell model"</a>. <i>Progress in Particle and Nuclear Physics</i>. <b>69</b>: 131–181. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2013PrPNP..69..131B">2013PrPNP..69..131B</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.ppnp.2012.10.003">10.1016/j.ppnp.2012.10.003</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Progress+in+Particle+and+Nuclear+Physics&rft.atitle=Ab+initio+no+core+shell+model&rft.volume=69&rft.pages=131-181&rft.date=2013&rft_id=info%3Adoi%2F10.1016%2Fj.ppnp.2012.10.003&rft_id=info%3Abibcode%2F2013PrPNP..69..131B&rft.aulast=Barrett&rft.aufirst=B.R.&rft.au=Navr%C3%A1til%2C+P.&rft.au=Vary%2C+J.P.&rft_id=https%3A%2F%2Fdigital.library.unt.edu%2Fark%3A%2F67531%2Fmetadc1415883%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAb+initio+methods+%28nuclear+physics%29" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHagenPapenbrockHjorth-JensenDean2014" class="citation journal cs1">Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M.; Dean, D. J. (2014). "Coupled-cluster computations of atomic nuclei". <i>Reports on Progress in Physics</i>. <b>77</b> (9): 096302. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1312.7872">1312.7872</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2014RPPh...77i6302H">2014RPPh...77i6302H</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1088%2F0034-4885%2F77%2F9%2F096302">10.1088/0034-4885/77/9/096302</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/25222372">25222372</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:10626343">10626343</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Reports+on+Progress+in+Physics&rft.atitle=Coupled-cluster+computations+of+atomic+nuclei&rft.volume=77&rft.issue=9&rft.pages=096302&rft.date=2014&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A10626343%23id-name%3DS2CID&rft_id=info%3Abibcode%2F2014RPPh...77i6302H&rft_id=info%3Aarxiv%2F1312.7872&rft_id=info%3Apmid%2F25222372&rft_id=info%3Adoi%2F10.1088%2F0034-4885%2F77%2F9%2F096302&rft.aulast=Hagen&rft.aufirst=G.&rft.au=Papenbrock%2C+T.&rft.au=Hjorth-Jensen%2C+M.&rft.au=Dean%2C+D.+J.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAb+initio+methods+%28nuclear+physics%29" class="Z3988"></span></span> </li> <li id="cite_note-cipollone2013-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-cipollone2013_6-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCipolloneBarbieriNavrátil2013" class="citation journal cs1">Cipollone, A.; Barbieri, C.; Navrátil, P. (2013). "Isotopic Chains Around Oxygen from Evolved Chiral Two- and Three-Nucleon Interactions". <i>Physical Review Letters</i>. <b>111</b> (6): 062501. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1303.4900">1303.4900</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2013PhRvL.111f2501C">2013PhRvL.111f2501C</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1103%2FPhysRevLett.111.062501">10.1103/PhysRevLett.111.062501</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/23971568">23971568</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:2198329">2198329</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Physical+Review+Letters&rft.atitle=Isotopic+Chains+Around+Oxygen+from+Evolved+Chiral+Two-+and+Three-Nucleon+Interactions&rft.volume=111&rft.issue=6&rft.pages=062501&rft.date=2013&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A2198329%23id-name%3DS2CID&rft_id=info%3Abibcode%2F2013PhRvL.111f2501C&rft_id=info%3Aarxiv%2F1303.4900&rft_id=info%3Apmid%2F23971568&rft_id=info%3Adoi%2F10.1103%2FPhysRevLett.111.062501&rft.aulast=Cipollone&rft.aufirst=A.&rft.au=Barbieri%2C+C.&rft.au=Navr%C3%A1til%2C+P.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAb+initio+methods+%28nuclear+physics%29" class="Z3988"></span></span> </li> <li id="cite_note-hergert2013-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-hergert2013_7-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHergertBinderCalciLanghammer2013" class="citation journal cs1">Hergert, H.; Binder, S.; Calci, A.; Langhammer, J.; Roth, R. (2013). "Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two-Plus-Three-Nucleon Interactions". <i>Physical Review Letters</i>. <b>110</b> (24): 242501. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1302.7294">1302.7294</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2013PhRvL.110x2501H">2013PhRvL.110x2501H</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1103%2FPhysRevLett.110.242501">10.1103/PhysRevLett.110.242501</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/25165916">25165916</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:5501714">5501714</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Physical+Review+Letters&rft.atitle=Ab+Initio+Calculations+of+Even+Oxygen+Isotopes+with+Chiral+Two-Plus-Three-Nucleon+Interactions&rft.volume=110&rft.issue=24&rft.pages=242501&rft.date=2013&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A5501714%23id-name%3DS2CID&rft_id=info%3Abibcode%2F2013PhRvL.110x2501H&rft_id=info%3Aarxiv%2F1302.7294&rft_id=info%3Apmid%2F25165916&rft_id=info%3Adoi%2F10.1103%2FPhysRevLett.110.242501&rft.aulast=Hergert&rft.aufirst=H.&rft.au=Binder%2C+S.&rft.au=Calci%2C+A.&rft.au=Langhammer%2C+J.&rft.au=Roth%2C+R.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AAb+initio+methods+%28nuclear+physics%29" class="Z3988"></span></span> </li> </ol></div></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=Ab_initio_methods_(nuclear_physics)&oldid=1098576164">https://en.wikipedia.org/w/index.php?title=Ab_initio_methods_(nuclear_physics)&oldid=1098576164</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Help:Category" title="Help:Category">Category</a>: <ul><li><a href="/wiki/Category:Nuclear_physics" title="Category:Nuclear physics">Nuclear physics</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last edited on 16 July 2022, at 13:55<span class="anonymous-show"> (UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License" title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>; additional terms may apply. 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