Neutron skin thickness for $^{208}$Pb from total cross sections of neutron scattering at 14.137 MeV and neutron skin thickness for $^{48}$Ca, O, N, C isotopes from reaction and interaction cross sections

Abstract: Foster {\it et al.} measured total neutron cross sections $\sigma_{\rm T}$ of n+$^{208}$Pb scattering at $14.137$MeV. Carlson {\it et al.} measured $\sigma_{\rm R}$ for $p$+$^{48}$Ca scattering in $23 \text{--} 48$MeV. Tanaka {\it et al.} measured $\sigma_{\rm I}$ for $^{42\text{--}51}$Ca + $^{12}$C scattering at 280MeV/u. Bagchi {\it et al.} measured the charge-changing (CC) cross sections and determined proton radii $r_{\rm p}({\rm CC})$ for $^{14,15,17 \text{--} 22}$N from the CC cross sections. Kanungo {\it et al.} measured the CC cross sections and extracted $r_{\rm p}({\rm CC})$ for $^{12\text{--} 19}$C. Kaur {\it et al.} measured the CC cross sections and determined $r_{\rm p}({\rm CC})$ for $^{16,18 \text{--} 24}$O. Our 1st aim is to extract $r_{\rm skin}^{208}$ from the the $\sigma_{\rm T}$ of n+$^{208}$Pb scattering at $14.137$MeV. Our 2nd aim is to determine $r_{\rm skin}^{48}({\rm skin})$ from $\sigma_{\rm R}$ on p+$^{48}$Ca scattering in $E_{\rm lab}=23 \text{--} 48$MeV. Our 3rd aim is to find light stable nuclei having nuclei having large $r_{\rm skin}$. We use the Kyushu $g$-matrix folding model for lower $E_{\rm lab}$ and the folding model based on the Love-Franey $t$-matrix for higher $E_{\rm lab}$. We determine $r_{\rm skin}^{48}({\rm skin})=0.163 \pm 0.037{\rm fm}$ from the $\sigma_{\rm R}$ on p+$^{48}$Ca scattering, using the Kyushu $g$-matrix folding model with the D1M-GHFB+AMP proton and neutron densities. We show that D1M-GHFB+AMP is better than D1S-GHFB+AMP for the matter radius and the binding energy. Our skin value is consistent with $r_{\rm skin}^{48}({\rm CREX})$. For C, N, O isotopes, we find that $r_{\rm skin}= 0.267 \pm 0.056$~fm for $^{14}$N and $r_{\rm skin}= 0.197 \pm 0.067$~fm for $^{17}$O. Our value $r_{\rm skin}^{208}=0.309 \pm 0.057$fm agrees with $r_{\rm skin}^{208}({\rm PREX2})$.