Using the Kyushu g-matrix folding model, the authors extract r_skin(208Pb) = 0.309 +/- 0.057 fm from n+208Pb total cross sections and r_skin(48Ca) = 0.163 +/- 0.037 fm from p+48Ca reaction cross sections.
Microscopic optical potentials for $^4$He scattering
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abstract
We present a reliable double-folding (DF) model for $^{4}$He-nucleus scattering, using the Melbourne $g$-matrix nucleon-nucleon interaction that explains nucleon-nucleus scattering with no adjustable parameter. In the DF model, only the target density is taken as the local density in the Melbourne $g$-matrix. For $^{4}$He elastic scattering from $^{58}$Ni and $^{208}$Pb targets in a wide range of incident energies from 20~MeV/nucleon to 200~MeV/nucleon, the DF model with the target-density approximation (TDA) yields much better agreement with the experimental data than the usual DF model with the frozen-density approximation in which the sum of projectile and target densities is taken as the local density. We also discuss the relation between the DF model with the TDA and the conventional folding model in which the nucleon-nucleus potential is folded with the $^{4}$He density.
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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
Using the Kyushu g-matrix folding model, the authors extract r_skin(208Pb) = 0.309 +/- 0.057 fm from n+208Pb total cross sections and r_skin(48Ca) = 0.163 +/- 0.037 fm from p+48Ca reaction cross sections.