Skin values and matter radii of 208Pb and 58,60,64Ni based on reaction cross section of 3,4He scattering

Background: The PREX group reported a new skin value, r208 skin(PREX2) = 0.283 & PLUSMN; 0.071 = 0.212 & SIM; 0.354 fm. Using the chiral (Kyushu) ������-matrix folding model with the proton and neutron densities determined with D1S+GHFB+AMP, we determined neutron skin thickness r208 skin(exp) = 0.278 & PLUSMN; 0.035 fm from reaction cross sec-tions o-R(exp) of p+208Pb scattering, where D1S-GHFB+AMP denotes Gogny-D1S HFB with angular momentum projection (AMP). The method also yielded r208skin(exp) = 0.416 & PLUSMN; 0.146 from o-R(exp) of 4He+208Pb scattering. In our previous work, we accumulated the 206 EoSs and determined a sloop parameter L = 76 & SIM; 165 MeV from the 206 EoSs. The value of L yields r208skin = 0.102 & SIM; 0.354 fm. As for 58Ni, a novel method for measuring nuclear reactions in inverse kinematics with stored ion beams was successfully used to extract matter radii rm of 58Ni at the GSI facility. Purpose: As the first aim, we first determine r208skin(exp) from o-R(exp) of 3He scattering on 208Pb target and take the weighted mean and its error for r208skin(PREX2), three skin values of p+208Pb, 3,4He+208Pb scattering and r208 skin = 0.102 & SIM; 0.354 fm based on the 206 EoSs. As the second aim, we determine matter radii r ������(exp) of 58,60,64Ni from o-R(exp) of 3,4He scattering on 58,60,64Ni targets. Results: Our result is r208skin(exp) = 0.512 & PLUSMN;0.268 fmfor 3He+208Pb scattering. Our results based on 4He+58,60,64Ni scattering are r58m(exp) = 3.734 & PLUSMN;0.091 fm, r60m(exp) = 3.815 & PLUSMN;0.094 fm, r64m(exp) = 4.001 & PLUSMN;0.093 fm. Our results based on 3He+58,60,64Ni scattering are r58m(exp) = 3.709 & PLUSMN;0.098 fm, r60m(exp) = 3.753 & PLUSMN;0.112 fm, r64m(exp) = 3.822 & PLUSMN;0.142 fm. Conclusion: Our conclusion is r208skin above. = 0.285 & PLUSMN; 0.030 fm. It is determined from the 5 skin values mentioned

Automated summary

This study reported a new skin value and determined the skin thickness and matter radii through experimental evidence. The results showed that the skin value was 0.512±0.268 fm, and the matter radii based on different scattering reactions were 3.734±0.091 fm, 3.709±0.098 fm, 3.753±0.112 fm, and 3.822±0.142 fm.