A new type of skin thickness in high-spin isomers to constrain equation of state of spin-polarized nuclear matter
Abstract
We explore experimental probes for constraining the equation of state (EOS) of spin-polarized nuclear matter, where spins of nucleons are aligned along a particular direction. For this purpose, we calculate the 12+ isomeric state of the \ce{^{52}Fe} nucleus with the relativistic point-coupling model. We argue that the spin skin thickness of this high-spin state, that is, the difference between the radius of the spin-up density and that of the spin-down density, strongly correlates with the spin slope parameter of the EOS. This is in analogy to the well known linear correlation between the slope parameter of the symmetry energy and the neutron skin thickness of finite nuclei. We show that this correlation is retained even when one considers the difference of the radii between the 12+ and the ground states, even though the correlation is much weaker than in the case of the difference between the spin-up and the spin-down radii. We also discuss the mean-square charge radii of the 12+ state. We find that by taking the square of the radii the dependence on the spin slope parameter becomes much stronger, and thus it can serve as a good probe of the spin slope parameter given a high resolution of laser-spectroscopy experiments.
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BibTeX
@misc{tachibana2026type,
title = {{A new type of skin thickness in high-spin isomers to constrain equation of state of spin-polarized nuclear matter}},
author = {Toi Tachibana and Kouichi Hagino and Kenichi Yoshida and Qiang Zhao},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.30710},
eprint = {2609.30710},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30710},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A new type of skin thickness in high-spin isomers to constrain equation of state of spin-polarized nuclear matter
AU - Toi Tachibana
AU - Kouichi Hagino
AU - Kenichi Yoshida
AU - Qiang Zhao
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.30710
UR - https://arxiv.org/abs/2609.30710
AB - We explore experimental probes for constraining the equation of state (EOS) of spin-polarized nuclear matter, where spins of nucleons are aligned along a particular direction. For this purpose, we calculate the 12^+ isomeric state of the \ce{^{52}Fe} nucleus with the relativistic point-coupling model. We argue that the spin skin thickness of this high-spin state, that is, the difference between the radius of the spin-up density and that of the spin-down density, strongly correlates with the spin slope parameter of the EOS. This is in analogy to the well known linear correlation between the slope parameter of the symmetry energy and the neutron skin thickness of finite nuclei. We show that this correlation is retained even when one considers the difference of the radii between the 12^+ and the ground states, even though the correlation is much weaker than in the case of the difference between the spin-up and the spin-down radii. We also discuss the mean-square charge radii of the 12^+ state. We find that by taking the square of the radii the dependence on the spin slope parameter becomes much stronger, and thus it can serve as a good probe of the spin slope parameter given a high resolution of laser-spectroscopy experiments.
ER -