Neutron skin in ⁴⁸Ca determined from p+⁴⁸Ca and ⁴⁸Ca+¹²C scattering

2022/01/21 by Shingo Tagami, Tagami, Shingo, T. Wakasa +7 · 1 citation
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2201.08541

openalex publication_date 2022/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In our previous paper, we determined r_{\rm skin}²⁰⁸(\rm exp)=0.278 ± 0.035~fm from σ_{\rm R} for p+²⁰⁸Pb scattering, using the Kyushu (chiral) g-matrix folding model with the densities calculated with D1S-GHFB with the angular momentum projection (AMP). The value agrees with that of PREX2. Reaction cross sections σ_{\rm R} are available for p+⁴⁸Ca scattering, whereas interaction cross sections σ_{\rm I} are available for ⁴⁸Ca + ¹²C scattering. As for ⁴⁸Ca, the high-resolution E1 polarizability experiment (E1pE) yields r_{\rm skin}⁴⁸(E1\rm pE) =0.14 ∼ 0.20~\rm fm. We determine r_{\rm skin}⁴⁸(\rm exp) from the data on σ_{\rm R} for p+⁴⁸Ca scattering and from the data on σ_{\rm I} for ⁴⁸Ca+¹²C scattering. We use the Kyushu g-matrix folding model with the densities calculated with the D1M-GHFB+AMP densities. The D1M-GHFB+AMP proton and neutron densities are scaled so as to reproduce the data under the condition that the radius r_{\rm p} of the scaled proton density equals the data r_{\rm p}(\rm exp) determined from the electron scattering. We deduce skin values r_{\rm skin}=r_{\rm n}(\rm exp)-r_{\rm p}(\rm exp) from the resulting r_{\rm n}(\rm exp) and the r_{\rm p}(\rm exp) determined from electron scattering. The same procedure is taken for D1S-GHFB+AMP. We regard r_{\rm skin}⁴⁸(E1\rm pE) as a reference skin value. Using the reference skin value and taking D1M-GHFB+AMP, we determine r_{\rm skin}⁴⁸(\rm exp)=0.158 ± 0.025~fm for p+⁴⁸Ca scattering and 0.160 ± 0.058~fm for ⁴⁸Ca + ¹²C scattering. We take the weighted mean and its error for the two skin values. The result is r_{\rm skin}⁴⁸(\rm exp)=0.158 ± (0.023)_{\rm exp} ± (0.012)_{\rm th}~\rm fm.

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