Neutron skin thickness for ^natPb, ¹⁵⁹Tb and effects of deformation on matter radii for Mg, Na, Ar isotopes

2025/06/22 by Shingo Tagami, Tagami, Shingo, Myo, Takaykui +2
Engineering · Physics and Astronomy · #FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Physics and Applications #Nuclear Theory (nucl-th) #Nuclear reactor physics and engineering #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2506.18936

openalex publication_date 2025/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Data on reaction cross section σ_{\rm R} of proton scattering are available for ^natPb (natural lead) and ¹⁵⁹Tb. In addition, data on σ_{\rm R} and/or interaction ones σ_{\rm I} are available for Mg, Na, Ar isotopes. Our aim is to determine neutron skin thickness r_{\rm skin} for ^natPb, ¹⁵⁹Tb and to investigate effects of deformation for Mg, Na, Ar isotopes. We use the chiral (Kyushu) g-matrix folding model for lower energies and the folding model based on the Love-Franey (LF) t-matrix for higher energies. For ¹⁵⁹Tb, our skin value is r_{\rm skin}=0.273 ± 0.073~fm. As for ²⁴Mg, our matter radius r_{\rm m}(σ_{\rm R})=3.03 ± 0.08~fm determined from σ_{\rm R} includes effects of deformation, whereas the corresponding r_{\rm m}(σ_{\rm I})=2.79 ± 0.15~fm does not. Effects of deformation are seen for Mg isotopes, ^{21, 23}Na, ⁴⁰Ar. Our result r_{\rm skin}=0.271 ± 0.008~fm for ^natPb agrees with r_{\rm skin}²⁰⁸(\rm PREX-II) = 0.283± 0.071~fm for ²⁰⁸Pb, where we assume A=208 for ^natPb.

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