Delta isobars and nuclear saturation
We construct a nuclear interaction in chiral effective field theory with explicit inclusion of the \(\Delta\)-isobar \(\Delta(1232)\) degree of freedom at all orders up to next-to-next-to-leading order (NNLO). We use pion-nucleon (\(\pi N\)) low-energy constants (LECs) from a Roy-Steiner analysis of...
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| creator | A Ekström Hagen, G Morris, T D Papenbrock, T Schwartz, P D |
| description | We construct a nuclear interaction in chiral effective field theory with explicit inclusion of the \(\Delta\)-isobar \(\Delta(1232)\) degree of freedom at all orders up to next-to-next-to-leading order (NNLO). We use pion-nucleon (\(\pi N\)) low-energy constants (LECs) from a Roy-Steiner analysis of \(\pi N\) scattering data, optimize the LECs in the contact potentials up to NNLO to reproduce low-energy nucleon-nucleon scattering phase shifts, and constrain the three-nucleon interaction at NNLO to reproduce the binding energy and point-proton radius of \(^{4}\)He. For heavier nuclei we use the coupled-cluster method to compute binding energies, radii, and neutron skins. We find that radii and binding energies are much improved for interactions with explicit inclusion of \(\Delta(1232)\), while \(\Delta\)-less interactions produce nuclei that are not bound with respect to breakup into \(\alpha\) particles. The saturation of nuclear matter is significantly improved, and its symmetry energy is consistent with empirical estimates. |
| doi_str_mv | 10.48550/arxiv.1707.09028 |
| format | Article |
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We use pion-nucleon (\(\pi N\)) low-energy constants (LECs) from a Roy-Steiner analysis of \(\pi N\) scattering data, optimize the LECs in the contact potentials up to NNLO to reproduce low-energy nucleon-nucleon scattering phase shifts, and constrain the three-nucleon interaction at NNLO to reproduce the binding energy and point-proton radius of \(^{4}\)He. For heavier nuclei we use the coupled-cluster method to compute binding energies, radii, and neutron skins. We find that radii and binding energies are much improved for interactions with explicit inclusion of \(\Delta(1232)\), while \(\Delta\)-less interactions produce nuclei that are not bound with respect to breakup into \(\alpha\) particles. 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The saturation of nuclear matter is significantly improved, and its symmetry energy is consistent with empirical estimates.</description><subject>Alpha rays</subject><subject>Binding energy</subject><subject>Contact potentials</subject><subject>Empirical analysis</subject><subject>Field theory</subject><subject>Nuclear interactions</subject><subject>Nuclear isobars</subject><subject>Nuclear matter</subject><subject>Nuclei (nuclear physics)</subject><subject>Nucleon-nucleon scattering</subject><subject>Physics - Nuclear Experiment</subject><subject>Physics - Nuclear Theory</subject><subject>Saturation</subject><subject>Scattering</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj01Lw0AURQdBsNT-AFcGdJv45r35XErVKhTcdB8mMxNIiUmdSUT_vbV1dTfnXu5h7IZDJYyU8ODSd_dVcQ26AgtoLtgCiXhpBOIVW-W8BwBUGqWkBbt_iv3kii6PjUu5cEMohtn30aUiu2lOburG4Zpdtq7PcfWfS7Z7ed6tX8vt--Zt_bgtnURVhoY8NoFsQHI6eIqBSy9tYzm1JLx3XgijLChoWklGAuoQjZV4LFCMtGS359mTQn1I3YdLP_WfSn1SORJ3Z-KQxs855qnej3Majp9qBM2VMAiKfgGiT0p_</recordid><startdate>20180226</startdate><enddate>20180226</enddate><creator>A Ekström</creator><creator>Hagen, G</creator><creator>Morris, T D</creator><creator>Papenbrock, T</creator><creator>Schwartz, P D</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20180226</creationdate><title>Delta isobars and nuclear saturation</title><author>A Ekström ; Hagen, G ; Morris, T D ; Papenbrock, T ; Schwartz, P D</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a526-db3c2bd39d23a7dc3ed15c59b913f34ccac44869060bf5385027de8952d233ee3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Alpha rays</topic><topic>Binding energy</topic><topic>Contact potentials</topic><topic>Empirical analysis</topic><topic>Field theory</topic><topic>Nuclear interactions</topic><topic>Nuclear isobars</topic><topic>Nuclear matter</topic><topic>Nuclei (nuclear physics)</topic><topic>Nucleon-nucleon scattering</topic><topic>Physics - Nuclear Experiment</topic><topic>Physics - Nuclear Theory</topic><topic>Saturation</topic><topic>Scattering</topic><toplevel>online_resources</toplevel><creatorcontrib>A Ekström</creatorcontrib><creatorcontrib>Hagen, G</creatorcontrib><creatorcontrib>Morris, T D</creatorcontrib><creatorcontrib>Papenbrock, T</creatorcontrib><creatorcontrib>Schwartz, P D</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>A Ekström</au><au>Hagen, G</au><au>Morris, T D</au><au>Papenbrock, T</au><au>Schwartz, P D</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Delta isobars and nuclear saturation</atitle><jtitle>arXiv.org</jtitle><date>2018-02-26</date><risdate>2018</risdate><eissn>2331-8422</eissn><abstract>We construct a nuclear interaction in chiral effective field theory with explicit inclusion of the \(\Delta\)-isobar \(\Delta(1232)\) degree of freedom at all orders up to next-to-next-to-leading order (NNLO). We use pion-nucleon (\(\pi N\)) low-energy constants (LECs) from a Roy-Steiner analysis of \(\pi N\) scattering data, optimize the LECs in the contact potentials up to NNLO to reproduce low-energy nucleon-nucleon scattering phase shifts, and constrain the three-nucleon interaction at NNLO to reproduce the binding energy and point-proton radius of \(^{4}\)He. For heavier nuclei we use the coupled-cluster method to compute binding energies, radii, and neutron skins. We find that radii and binding energies are much improved for interactions with explicit inclusion of \(\Delta(1232)\), while \(\Delta\)-less interactions produce nuclei that are not bound with respect to breakup into \(\alpha\) particles. The saturation of nuclear matter is significantly improved, and its symmetry energy is consistent with empirical estimates.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1707.09028</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Alpha rays Binding energy Contact potentials Empirical analysis Field theory Nuclear interactions Nuclear isobars Nuclear matter Nuclei (nuclear physics) Nucleon-nucleon scattering Physics - Nuclear Experiment Physics - Nuclear Theory Saturation Scattering |
| title | Delta isobars and nuclear saturation |
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