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

Shingo Tagami, Tomotsugu Wakasa, Maya Takechi, Jun Matsui, Masanobu Yahiro

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8 Citations (Scopus)

Abstract

Background: In our previous paper, we determined rskin208(exp)=0.278±0.035 fm from measured reaction cross sections σR for p+208Pb scattering, using the Kyushu (chiral) g-matrix folding model with the densities calculated with the Gogny-D1S Hartree–Fock–Bogoliubov (D1S-GHFB) with the angular momentum projection (AMP). The value agrees with that of PREX2. Reaction cross sections σR are available for p+48Ca scattering, whereas interaction cross sections σI(≈σR) are available for 48Ca + 12C scattering. As for 48Ca, the high-resolution E1 polarizability experiment (E1pE) yields rskin48(E1pE)=0.14∼0.20fm. Purpose: We determine rskin48(exp) from the data on σR for p+48Ca scattering and from the data on σI for 48Ca+12C scattering. Methods: 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 rp of the scaled proton density equals the data rp(exp) determined from the electron scattering. We deduce skin values rskin=rn(exp)−rp(exp) from the resulting rn(exp) and the rp(exp) determined from electron scattering. The same procedure is taken for D1S-GHFB+AMP. Results: We regard rskin48(E1pE) as a reference skin value. Using the reference skin value and taking D1M-GHFB+AMP, we determine rskin48(exp)=0.158±0.025 fm for p+48Ca scattering and 0.160±0.058 fm for 48Ca + 12C scattering. Conclusion: We take the weighted mean and its error for the two skin values. The result is rskin48(exp)=0.158±(0.023)exp±(0.012)thfm.

Original languageEnglish
Article number105155
JournalResults in Physics
Volume33
DOIs
Publication statusPublished - Feb 2022

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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