Skin values and matter radii of ${}^{208}$Pb and ${}^{58,60,64}$Ni based on reaction cross section of ${}^{3,4}$He scattering (published in Results in Physics)

Abstract

The PREX group reported a new skin value, $r_{\mathrm{skin}}^{208}(PREX2)=0.283\pm 0.071\mathrm{fm}$. Using the chiral (Kyushu) $g$-matrix folding model with the proton and neutron densities determined with D1S+GHFB+AMP, we determined neutron skin thickness $r_{\mathrm{skin}}^{208}(\exp )$ from reaction cross sections $\ddot{I}{ƒ}_{\mathrm{R}}(\exp )$ of p+${}^{208}$Pb scattering. The method also yielded $r_{\mathrm{skin}}^{208}(\exp )$ from $\ddot{I}{ƒ}_{\mathrm{R}}(\exp )$ of ${}^4$He+${}^{208}$Pb scattering. We accumulated the 206 EoSs and determined a sloop parameter from the 206 EoSs. The value yields $r_{\mathrm{skin}}^{208}=0.102\sim 0.354\mathrm{fm}$. As the first aim, we first determine $r_{\mathrm{skin}}^{208}(\exp )$ from $\ddot{I}{ƒ}_{\mathrm{R}}(\exp )$ of ${}^3$He scattering on ${}^{208}$Pb target and take the weighted mean and its error for $r_{\mathrm{skin}}^{208}(PREX2)$, three skin values of p+${}^{208}$Pb, ${}^{3,4}$He+${}^{208}$Pb scattering and the $r_{\mathrm{skin}}^{208}$ based on the 206 EoSs. As the second aim, we determine matter radii $r_m(\exp )$ of ${}^{58,60,64}$Ni from $\ddot{I}{ƒ}_{\mathrm{R}}(\exp )$ of ${}^{3,4}$He scattering on ${}^{58,60,64}$Ni targets. Our result is $r_{\mathrm{skin}}^{208}(\exp )=0.512\pm 0.268\mathrm{fm}$ for ${}^3$He+${}^{208}$Pb scattering. Our conclusion is $r_{\mathrm{skin}}^{208}=0.285\pm 0.030\mathrm{fm}$. It is determined from the 5 skin values mentioned above.

arXiv admin note: text overlap with arXiv:2201.08541, arXiv:2211.16688