## Abstract

Background: In our previous paper, we determined r_{skin}^{208}(exp)=0.278±0.035 fm from measured reaction cross sections σ_{R} for p+^{208}Pb 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 σ_{R} are available for p+^{48}Ca scattering, whereas interaction cross sections σ_{I}(≈σ_{R}) are available for ^{48}Ca + ^{12}C scattering. As for ^{48}Ca, the high-resolution E1 polarizability experiment (E1pE) yields r_{skin}^{48}(E1pE)=0.14∼0.20fm. Purpose: We determine r_{skin}^{48}(exp) from the data on σ_{R} for p+^{48}Ca scattering and from the data on σ_{I} for ^{48}Ca+^{12}C 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 r_{p} of the scaled proton density equals the data r_{p}(exp) determined from the electron scattering. We deduce skin values r_{skin}=r_{n}(exp)−r_{p}(exp) from the resulting r_{n}(exp) and the r_{p}(exp) determined from electron scattering. The same procedure is taken for D1S-GHFB+AMP. Results: We regard r_{skin}^{48}(E1pE) as a reference skin value. Using the reference skin value and taking D1M-GHFB+AMP, we determine r_{skin}^{48}(exp)=0.158±0.025 fm for p+^{48}Ca scattering and 0.160±0.058 fm for ^{48}Ca + ^{12}C scattering. Conclusion: We take the weighted mean and its error for the two skin values. The result is r_{skin}^{48}(exp)=0.158±(0.023)_{exp}±(0.012)_{th}fm.

Original language | English |
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Article number | 105155 |

Journal | Results in Physics |

Volume | 33 |

DOIs | |

Publication status | Published - Feb 2022 |

## All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

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