Neutron skin r_{\rm skin}⁴⁸ determined from reaction cross section of proton+⁴⁸Ca scattering

2020/11/23 by Shingo Tagami, M. Takechi, Tagami, Shingo +9 · 1 citation
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic and Subatomic Physics Research #FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Physics and Applications #Nuclear Theory (nucl-th) #nucl-ex #nucl-th

paper · pdf · doi:10.48550/arxiv.2011.12235

arXiv admin note: text overlap with arXiv:2010.02450

arxiv created 2020/11/23 · openalex publication_date 2020/11/23 · arxiv updated 2020/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

\bf Background: Using the chiral (Kyushu) g-matrix folding model with the densities calculated with GHFB+AMP, we determined r_{\rm skin}²⁰⁸=0.25fm from the central values of σ_{\rm R} of p+²⁰⁸Pb scattering in E_{\rm in}=40-81MeV. The high-resolution E1 polarizability experiment (E1pE) yields r_{\rm skin}⁴⁸(E1\rm pE) =0.14-0.20fm. The data on σ_{\rm R} are available as a function of E_{\rm in} for p+⁴⁸Ca scattering. \bf Aim: Our aim is to determine r_{\rm skin}⁴⁸ from the central values of σ_{\rm R} for p+⁴⁸Ca scattering by using the folding model. \bf Results: As for ⁴⁸Ca, we determine r_n(E1\rm pE)=3.56fm from the central value 0.17fm of r_{\rm skin}⁴⁸(E1\rm pE) and r_p(\rm EXP)=3.385fm of electron scattering, and evaluate r_m(E1\rm pE)=3.485fm from the r_n(E1\rm pE) and the r_p(\rm EXP) of electron scattering. The folding model with GHFB+AMP densities reproduces σ_{\rm R} in 23 ≤ E_{\rm in} ≤ 25.3 MeV in one-σ level, but slightly overestimates the central values of σ_{\rm R} there. In 23 ≤ E_{\rm in} ≤ 25.3MeV, the small deviation allows us to scale the GHFB+AMP densities to the central values of r_p(\rm EXP) and r_n(E1\rm pE). The σ_{\rm R}(E1\rm pE) obtained with the scaled densities almost reproduce the central values of σ_{\rm R} when E_{\rm in}=23-25.3MeV, so that the σ_{\rm R}(\rm GHFB+AMP) and the σ_{\rm R}(E1\rm pE) are in 1-σ of σ_{\rm R} there. In E_{\rm in}=23-25.3MeV, we determine the r_m(\rm EXP) from the central values of σ_{\rm R} and take the average for the r_m(\rm EXP). The averaged value is r_m(\rm EXP)=3.471fm. Eventually, we obtain r_{\rm skin}⁴⁸(\rm EXP)=0.146fm from r_m(\rm EXP)=3.471fm and r_p(\rm EXP)=3.385fm.

Citations

• Neutron skin thickness of ²⁰⁸Pb determined from reaction cross section for proton scattering

Cited by

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

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