Determination of matter radius and neutron-skin thickness of ${}^{60,62,64}$Ni from reaction cross section of proton scattering on ${}^{60,62,64}$Ni targets (published in Results in Physics)

Abstract

In our previous work, we determined matter radii $r_{\mathrm{m}}(\exp )$ and neutron-skin thickness $r_{\mathrm{skin}}(\exp )$ from reaction cross sections $\ddot{I}{ƒ}_{\mathrm{R}}(\exp )$ of proton scattering on ${}^{208}$Pb, ${}^{58}$Ni, ${}^{40,48}$Ca, ${}^{12}$C targets, using the chiral (Kyushu) $g$-matrix folding model with the densities calculated with Gogny-D1S-HFB (D1S-GHFB) with angular momentum projection (AMP). The resultant $r_{\mathrm{skin}}(\exp )$ agree with the PREX2 and CREX values. As for ${}^{58}$Ni, our value is consistent with one determined from the differential cross section for ${}^{58}$Ni+${}^4$He scattering. As for p+${}^{60,62,64}$N scattering, $\ddot{I}{ƒ}_{\mathrm{R}}(\exp )$ are available as a function of incident energies $E_{\mathrm{in}}$, where $E_{\mathrm{in}}=22.8\sim 65.5$~MeV for ${}^{60}$Ni, $E_{\mathrm{in}}=40,60.8$~MeV for ${}^{62}$Ni, $E_{\mathrm{in}}=40,60.8$~MeV for ${}^{64}$Ni. Our aim is to determine matter radii $r_{\mathrm{m}}(\exp )$ for ${}^{60,62,64}$Ni from the $\ddot{I}{ƒ}_{\mathrm{R}}(\exp )$. Our method is the Kyushu $g$-matrix folding model with the densities scaled from D1S-GHFB+AMP densities, Our skin values are $r_{\mathrm{skin}}(\exp )=0.076\pm 0.019,0.106\pm 0.192,0.162\pm 0.176$~fm, and $r_{\mathrm{m}}(\exp )=3.759\pm 0.011,3.811\pm 0.107,3.864\pm 0.101$~fm for ${}^{60,62,64}$Ni, respectively.