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Neutron-skin values and matter and neutron radii determined from reaction cross sections of proton scattering on C12, Ca40,48, Ni58, and Pb208

Tomotsugu Wakasa1, Shingo Tagami1, Jun Matsui1, Maya Takechi2, and Masanobu Yahiro1,*

  • 1Department of Physics, Kyushu University, Fukuoka 819-0395, Japan
  • 2Department of Physics, Niigata University, Niigata 950-2181, Japan

  • *orion093g@gmail.com
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Phys. Rev. C 107, 024608 – Published 14 February, 2023

DOI: https://doi.org/10.1103/PhysRevC.107.024608

Abstract

Background: Very recently, the PREX and CREX collaborations presented skin values rskin208(newPREX2)=0.278±0.078(exp)±0.012(theor.)fm and rskin48=0.121±0.026(exp)±0.024(model), respectively. We recently determined a neutron-skin value rskin208=0.278±0.035fm from measured reaction cross sections σR(exp) of p+Pb208 scattering in a range of incident energies 10≲Ein≲100 MeV where the chiral (Kyushu) g-matrix folding model is reliable for C12+C12 scattering. The data σR(exp) are available for proton scattering on Ni58, Ca40,48, and C12 targets.

Purpose: Our first aim is to test the Kyushu g-matrix folding model for p+Pb208 scattering in 20≲Ein≲180 MeV. Our second aim is to determine skin values rskin and matter and neutron radii, rm and rn, for Pb208, Ni58, Ca40,48, and C12 from the σR(exp).

Methods: Our method is the Kyushu g-matrix folding model with the densities scaled from the D1S-GHFB+AMP densities, where D1S-GHFB+AMP stands for Gogny-D1S HFB (GHFB) with angular momentum projection (AMP).

Results: As for proton scattering, we find that our model is reliable in 20≲Ein≲180 MeV. For Pb208, the skin value deduced from σR(exp) in 20≲Ein≲180 MeV is rskin208(σR)=0.299±0.020 fm. Our results on rskin are compared with the previous works.

Conclusion: Our result rskin208(σR)=0.299±0.020 fm agrees with rskin208(PREX2)=0.283±0.071 fm. In addition, our result rskin48=0.103±0.022 fm is consistent with the CREX value.

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Phys. Rev. C 107, 024608– Published 14 February, 2023
  • Received 18 November 2021
  • Revised 17 September 2022
  • Accepted 29 November 2022
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