Determination of matter radius and neutron skin of ⁵⁸Ni from reaction cross section of proton+⁵⁸Ni scattering based on chiral g-matrix model

2020/12/08 by Shingo Tagami, Tagami, Shingo, M. Takechi +7
Physics and Astronomy · #FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.2012.09146

openalex publication_date 2020/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Background: Using the chiral (Kyushu) g-matrix folding model with the densities calculated with Gogny-HFB (GHFB) with the angular momentum projection (AMP), we determined the central values of matter radius and neutron skin from the central values of reaction cross sections σ_{\rm R}(\rm EXP) of p+^40,48Ca and p+²⁰⁸Pb scattering. As for p+⁵⁸Ni scattering, σ_{\rm R}(\rm EXP) are available as a function of incident energy E_{\rm in}. Aim: Our aim is to determine matter radius r_m and skin r_{\rm skin} for ⁵⁸Ni from the σ_{\rm R}(\rm EXP) of p+⁵⁸Ni scattering by using the Kyushu g-matrix folding model with the GHFB+AMP densities. Results: For p+⁵⁸Ni scattering, the Kyushu g-matrix folding model with the GHFB+AMP densities reproduces σ_{\rm R}(\rm EXP) in 8.8 ≤ E_{\rm in} ≤ 81MeV. For E_{\rm in}=81MeV, we define the factor F as F=σ_{\rm R}(\rm EXP)/σ_{\rm R}(\rm AMP)=0.9775. The Fσ_{\rm R}(\rm AMP) be much the same as the center values of σ_{\rm R}(\rm EXP) in 8.8 ≤ E_{\rm in} ≤ 81MeV. We then determine r_{\rm m}(\rm EXP) from the center values of σ_{\rm R}(\rm EXP), using σ_{\rm R}(\rm EXP)=C r_m²(\rm EXP) with C=r_m²(\rm AMP)/ (Fσ_{\rm R}(\rm AMP)). The r_m(\rm EXP) thus obtained are averaged over E_{\rm in}. The averaged value is r_m(\rm EXP)=3.697fm. Eventually, we obtain r_{\rm skin}(\rm EXP)=0.023fm from r_{\rm m}=3.697fm and r_p(\rm EXP)=3.685fm of electron scattering.

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