Neutron skin thickness for ⁿᵃᵗPb, ¹⁵⁹Tb and effects of deformation on matter radii for Mg, Na, Ar isotopes

Data on reaction cross section σR of proton scattering are available for ⁿᵃᵗPb (natural lead) and ¹⁵⁹Tb. In addition, data on σR and/or interaction ones σI are available for Mg, Na, Ar isotopes. Our aim is to determine neutron skin thickness rₛₖᵢₙ for ⁿᵃᵗPb, ¹⁵⁹Tb and to investigate effects of deformation for Mg, Na, Ar isotopes. We use the chiral (Kyushu) g-matrix folding model for lower energies and the folding model based on the Love-Franey (LF) t-matrix for higher energies. For ¹⁵⁹Tb, our skin value is rₛₖᵢₙ=0.273 ± 0.073~fm. As for ²⁴Mg, our matter radius rₘ(σR)=3.03 ± 0.08~fm determined from σR includes effects of deformation, whereas the corresponding rₘ(σI)=2.79 ± 0.15~fm does not. Effects of deformation are seen for Mg isotopes, 21, 23Na, ⁴⁰Ar. Our result rₛₖᵢₙ=0.271 ± 0.008~fm for ⁿᵃᵗPb agrees with rₛₖᵢₙ²⁰⁸( PREX-II) = 0.283± 0.071~fm for ²⁰⁸Pb, where we assume $A=208$ for ⁿᵃᵗPb.