Effects of the a0(980) Meson on Finite Nuclei in a Parity Doublet Model
Abstract
We investigate nuclear structure within the parity doublet model (PDM), with particular emphasis on the role of the isovector-scalar a0(980) meson. We adopt the models with and without the a0 meson and fit their parameters to nuclear matter saturation and ground state properties of selected nuclei, subject to constraints from the vacuum. The resulting parameter sets reproduce the nuclear matter saturation properties and provide a good description of binding energies and charge radii of selected nuclei. Our fits show that a large value of the chiral invariant mass of nucleon is preferred by the fitting: the best fitted value is $m_0 = 689 \pm 71 $ MeV with a0 and $m_0 = 689 \pm 69 $ MeV without a0. We find that the effects of the a0 meson on the binding energies and charge radii are negligibly small. It is difficult to clarify the effect of a0 meson to neutron skin thickness of Sn, Pb, and Ca isotopes, due to the large uncertainty of the predictions. We note that our prediction of 208 Pb is consistent with the measurement by PREX-II collaboration, while that of 48 Ca cannot explain the CREX result.
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BibTeX
@misc{kong2026effects,
title = {{Effects of the $a_0(980)$ Meson on Finite Nuclei in a Parity Doublet Model}},
author = {Yuk Kei Kong and Youngman Kim and Masayasu Harada},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.39245},
eprint = {2610.39245},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.39245},
}
RIS
TY - UNPB
TI - Effects of the a_0(980) Meson on Finite Nuclei in a Parity Doublet Model
AU - Yuk Kei Kong
AU - Youngman Kim
AU - Masayasu Harada
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.39245
UR - https://arxiv.org/abs/2610.39245
AB - We investigate nuclear structure within the parity doublet model (PDM), with particular emphasis on the role of the isovector-scalar a_0(980) meson. We adopt the models with and without the a_0 meson and fit their parameters to nuclear matter saturation and ground state properties of selected nuclei, subject to constraints from the vacuum. The resulting parameter sets reproduce the nuclear matter saturation properties and provide a good description of binding energies and charge radii of selected nuclei. Our fits show that a large value of the chiral invariant mass of nucleon is preferred by the fitting: the best fitted value is $m_0 = 689 \pm 71 $ MeV with a_0 and $m_0 = 689 \pm 69 $ MeV without a_0. We find that the effects of the a_0 meson on the binding energies and charge radii are negligibly small. It is difficult to clarify the effect of a_0 meson to neutron skin thickness of Sn, Pb, and Ca isotopes, due to the large uncertainty of the predictions. We note that our prediction of ^208 Pb is consistent with the measurement by PREX-II collaboration, while that of ^48 Ca cannot explain the CREX result.
ER -