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- Publisher Website: 10.1016/j.nuclphysa.2008.11.007
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Article: Symmetry energy I: Semi-infinite matter
Title | Symmetry energy I: Semi-infinite matter |
---|---|
Authors | |
Keywords | Nuclear matter Skyrme-Hartree-Fock model Isovector density Hohenberg-Kohn functional Symmetry energy Half-infinite matter Surface symmetry coefficient Nuclear surface |
Issue Date | 2009 |
Citation | Nuclear Physics A, 2009, v. 818, n. 1-2, p. 36-96 How to Cite? |
Abstract | Energy for a nucleus is considered in the macroscopic limit, in terms of nucleon numbers. Further considered for a nuclear system is the Hohenberg-Kohn energy functional, in terms of proton and neutron densities. Finally, Skyrme-Hartree-Fock calculations are carried out for a half-infinite particle-stable nuclear-matter. In each case, the attention is focused on the role of neutron-proton asymmetry and on the nuclear symmetry energy. We extend the considerations on the symmetry term from an energy formula to the respective term within the Hohenberg-Kohn functional. We show, in particular, that in the limit of an analytic functional, and subject to possible Coulomb corrections, it is possible to construct isoscalar and isovector densities out of the proton and neutron densities, that retain a universal relation to each other, approximately independent of asymmetry. In the so-called local approximation, the isovector density is inversely proportional to the symmetry energy in uniform matter, at the local isoscalar density. Generalized symmetry coefficient of a nuclear system is related, in the analytic limit of the functional, to an integral of the isovector density. We test the relations, inferred from the Hohenberg-Kohn functional, in the Skyrme-Hartree-Fock calculations of half-infinite matter. Within the calculations, we obtain surface symmetry coefficients and parameters characterizing the densities, for the majority of Skyrme parameterizations proposed in the literature. The volume-to-surface symmetry-coefficient ratio, and the displacement of nuclear isovector relative to isoscalar surfaces, both strongly increase as the slope of symmetry energy, in the vicinity of normal density, increases. © 2008 Elsevier B.V. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/199970 |
ISSN | 2015 Impact Factor: 1.258 2015 SCImago Journal Rankings: 1.004 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Danielewicz, Paweł | - |
dc.contributor.author | Lee, Jenny | - |
dc.date.accessioned | 2014-07-26T23:10:58Z | - |
dc.date.available | 2014-07-26T23:10:58Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Nuclear Physics A, 2009, v. 818, n. 1-2, p. 36-96 | - |
dc.identifier.issn | 0375-9474 | - |
dc.identifier.uri | http://hdl.handle.net/10722/199970 | - |
dc.description.abstract | Energy for a nucleus is considered in the macroscopic limit, in terms of nucleon numbers. Further considered for a nuclear system is the Hohenberg-Kohn energy functional, in terms of proton and neutron densities. Finally, Skyrme-Hartree-Fock calculations are carried out for a half-infinite particle-stable nuclear-matter. In each case, the attention is focused on the role of neutron-proton asymmetry and on the nuclear symmetry energy. We extend the considerations on the symmetry term from an energy formula to the respective term within the Hohenberg-Kohn functional. We show, in particular, that in the limit of an analytic functional, and subject to possible Coulomb corrections, it is possible to construct isoscalar and isovector densities out of the proton and neutron densities, that retain a universal relation to each other, approximately independent of asymmetry. In the so-called local approximation, the isovector density is inversely proportional to the symmetry energy in uniform matter, at the local isoscalar density. Generalized symmetry coefficient of a nuclear system is related, in the analytic limit of the functional, to an integral of the isovector density. We test the relations, inferred from the Hohenberg-Kohn functional, in the Skyrme-Hartree-Fock calculations of half-infinite matter. Within the calculations, we obtain surface symmetry coefficients and parameters characterizing the densities, for the majority of Skyrme parameterizations proposed in the literature. The volume-to-surface symmetry-coefficient ratio, and the displacement of nuclear isovector relative to isoscalar surfaces, both strongly increase as the slope of symmetry energy, in the vicinity of normal density, increases. © 2008 Elsevier B.V. All rights reserved. | - |
dc.language | eng | - |
dc.relation.ispartof | Nuclear Physics A | - |
dc.subject | Nuclear matter | - |
dc.subject | Skyrme-Hartree-Fock model | - |
dc.subject | Isovector density | - |
dc.subject | Hohenberg-Kohn functional | - |
dc.subject | Symmetry energy | - |
dc.subject | Half-infinite matter | - |
dc.subject | Surface symmetry coefficient | - |
dc.subject | Nuclear surface | - |
dc.title | Symmetry energy I: Semi-infinite matter | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.nuclphysa.2008.11.007 | - |
dc.identifier.scopus | eid_2-s2.0-58349122491 | - |
dc.identifier.volume | 818 | - |
dc.identifier.issue | 1-2 | - |
dc.identifier.spage | 36 | - |
dc.identifier.epage | 96 | - |
dc.identifier.isi | WOS:000263316900002 | - |