Very lately, the PREX and the CREX collaboration present skin values, $r_{ \rm skin}^{ 208}({ \rm newPREX2}) =0.278 \pm 0.078\ { \rm (exp)} \pm 0.012\ { \rm (theor.)}\,{ \rm fm}$ and $r_{ \rm skin}^{ 48}=0.121 \pm 0.026\ { \rm (exp)} \pm 0.024\ { \rm (model)}$, respectively. We recently determined a neutron-skin value $r_{ \rm skin}^{ 208}=0.278 \pm 0.035$fm from measured reaction cross sections $\sigma_{ \rm R}({ \rm exp})$ of p+$^{ 208}$Pb scattering in a range of incident energies $10 \lsim E_{ \rm in} \lsim 100$ MeV where the chiral (Kyushu) $g$-matrix folding model is reliable for $^{ 12}$C+$^{ 12}$C scattering. The data $\sigma_{ \rm R}({ \rm exp})$ are available for proton scattering on $^{ 58}$Ni, $^{ 40,48}$Ca, $^{ 12}$C targets. Our first aim is to test the Kyushu $g$-matrix folding model for p+$^{ 208}$Pb scattering in $20 \lsim E_{ \rm in} \lsim 180$ MeV. Our second aim is to determine skin values $r_{ \rm skin}$ and matter and neutron radii, $r_{ \rm m}$ and $r_{ \rm n}$, for $^{ 208}$Pb, $^{ 58}$Ni, $^{ 40,48}$Ca, $^{ 12}$C from the $\sigma_{ \rm R}({ \rm exp})$. 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 the angular momentum projection (AMP). As for proton scattering, we find that our model is reliable in $20 \lsim E_{ \rm in} \lsim 180$ MeV. For $^{ 208}$Pb, the skin value deduced from $\sigma_{ \rm R}({ \rm exp})$ in $20 \lsim E_{ \rm in} \lsim 180$ MeV is $r_{ \rm skin}^{ 208}(\sigma_{ \rm R})=0.299 \pm 0.020$ fm. Our results on $r_{ \rm skin}$ are compared with the previous works. Our result $r_{ \rm skin}^{ 208}(\sigma_{ \rm R}) = 0.299 \pm 0.020$ fm agrees with $r_{ \rm skin}^{ 208}({ \rm PREX2}) = 0.283\pm 0.071$ fm. In addition, our result $r_{ \rm skin}^{ 48}=0.103 \pm 0.022$ fm is consistent with the CREX value.
Categories: nucl-th