https://doi.org/10.1140/epja/s10050-023-01064-x
Regular Article - Theoretical Physics
Nuclear structure in parity doublet model
1
Department of Physics and Origin of Matter and Evolution of Galaxy Institute, Soongsil University, 06978, Seoul, Korea
2
Rare Isotope Science Project, Institute for Basic Science, 34000, Daejeon, Korea
3
Department of Physics, Nagoya University, 464-8602, Nagoya, Japan
4
Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, 464-8602, Nagoya, Japan
5
Advanced Science Research Center, Japan Atomic Energy Agency, 319-1195, Tokai, Japan
6
Center for Exotic Nuclear Studies, Institute for Basic Science, 34126, Daejeon, Korea
Received:
4
April
2023
Accepted:
23
June
2023
Published online:
8
July
2023
Using an extended parity doublet model with the hidden local symmetry, we study some properties of nuclei in the mean field approximation to see if the parity doublet model could reproduce nuclear properties and also to estimate the value of the chiral invariant nucleon mass 
preferred by nuclear structure. We first determine our model parameters using the inputs from free space and from nuclear matter properties. Then, we study some basic nuclear properties such as the nuclear binding energy with several different choices of the chiral invariant mass. We observe that our results approach the experimental values as is increased until 
MeV and start to deviate more from the experiments afterwards with larger than MeV. From this observation, we conclude that MeV is preferred by nuclear properties. We then calculate some properties of several selected nuclei with MeV and compare them with experiments. Finally, we study the neutron-proton mass difference in some nuclei.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
