Nuclear Potentials Relevant to the Symmetry Energy in Chiral Models
We employ the extended Nambu-Jona-Lasinio (NJL), linear-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula> models, and the density-dependent mo...
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| Format: | Article |
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MDPI AG
2022-02-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/3/474 |
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| author | Niu Li Si-Na Wei Wei-Zhou Jiang |
| author_facet | Niu Li Si-Na Wei Wei-Zhou Jiang |
| author_sort | Niu Li |
| collection | DOAJ |
| description | We employ the extended Nambu-Jona-Lasinio (NJL), linear-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula> models, and the density-dependent model with chiral limits to work out the mean fields and relevant properties of nuclear matter. To have the constraint from the data, we re-examine the Dirac optical potentials and symmetry potential based on the relativistic impulse approximation (RIA). Unlike the extended NJL and the density-dependent models with the chiral limit in terms of the vanishing scalar density, the extended linear-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula> model with a sluggish changing scalar field loses the chiral limit at the high-density end. The various scalar fields can characterize the different Schrödinger-equivalent potentials and kinetic symmetry energy in the whole density region and the symmetry potential in the intermediate density region. The drop in the scalar field due to the chiral restoration results in a clear rise of the kinetic symmetry energy. The chiral limit in the models gives rise to the softening of the symmetry potential and thereof the symmetry energy at high densities. |
| first_indexed | 2024-03-09T12:25:38Z |
| format | Article |
| id | doaj.art-4742e546441e494db704210496963327 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T12:25:38Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-4742e546441e494db7042104969633272023-11-30T22:35:08ZengMDPI AGSymmetry2073-89942022-02-0114347410.3390/sym14030474Nuclear Potentials Relevant to the Symmetry Energy in Chiral ModelsNiu Li0Si-Na Wei1Wei-Zhou Jiang2School of Physics, Southeast University, Nanjing 211189, ChinaSchool of Physics and Optoelectronics, South China University of Technology, Guangzhou 510640, ChinaSchool of Physics, Southeast University, Nanjing 211189, ChinaWe employ the extended Nambu-Jona-Lasinio (NJL), linear-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula> models, and the density-dependent model with chiral limits to work out the mean fields and relevant properties of nuclear matter. To have the constraint from the data, we re-examine the Dirac optical potentials and symmetry potential based on the relativistic impulse approximation (RIA). Unlike the extended NJL and the density-dependent models with the chiral limit in terms of the vanishing scalar density, the extended linear-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula> model with a sluggish changing scalar field loses the chiral limit at the high-density end. The various scalar fields can characterize the different Schrödinger-equivalent potentials and kinetic symmetry energy in the whole density region and the symmetry potential in the intermediate density region. The drop in the scalar field due to the chiral restoration results in a clear rise of the kinetic symmetry energy. The chiral limit in the models gives rise to the softening of the symmetry potential and thereof the symmetry energy at high densities.https://www.mdpi.com/2073-8994/14/3/474nuclear potentialssymmetry energychiral symmetryrelativistic mean-field theory |
| spellingShingle | Niu Li Si-Na Wei Wei-Zhou Jiang Nuclear Potentials Relevant to the Symmetry Energy in Chiral Models Symmetry nuclear potentials symmetry energy chiral symmetry relativistic mean-field theory |
| title | Nuclear Potentials Relevant to the Symmetry Energy in Chiral Models |
| title_full | Nuclear Potentials Relevant to the Symmetry Energy in Chiral Models |
| title_fullStr | Nuclear Potentials Relevant to the Symmetry Energy in Chiral Models |
| title_full_unstemmed | Nuclear Potentials Relevant to the Symmetry Energy in Chiral Models |
| title_short | Nuclear Potentials Relevant to the Symmetry Energy in Chiral Models |
| title_sort | nuclear potentials relevant to the symmetry energy in chiral models |
| topic | nuclear potentials symmetry energy chiral symmetry relativistic mean-field theory |
| url | https://www.mdpi.com/2073-8994/14/3/474 |
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