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The isotopic systematics of Sn isotopes in the range A=116--124 wereinvestigated by combining the nuclear structure and reaction calculations forthe analysis of Sn(p,p) reactions at 295 MeV. The Sn(p,p) reactions werecalculated employing relativistic impulse approximation (RIA) with theoreticaldensities obtained for the Sn isotopes from relativistic Hartree-Bogoliubov(RHB) calculations with the DD-ME2 interaction and nonrelativistic SkyrmeHartree-Fock-Bogoliubov (SHFB) calculations with the SKM* interaction.Calculation using the DD-ME2 density reproduced the experimental data for$^{122}$Sn(p,p) but overestimated the $^{116}$Sn(p,p) and $^{118}$Sn(p,p) crosssections at backward angles. In the isotopic analysis of the cross sectionratio $R(\sigma)$ of $^{122}$Sn to $^{116}$Sn, a calculation using the SKM*density reproduced the peak amplitudes of $R(\sigma)$ obtained from theexperimental cross sections, whereas a calculation using the DD-ME2 density didnot. The ratio $R(\sigma)$ was found to be sensitive to the isotopic change ofthe neutron $3s_{1/2}$ occupation through the isotopic difference of thesurface neutron density around r=4--5 fm. Isotopic analysis indicated that arapid increase of the $3s_{1/2}$ occupation from $^{116}$Sn to $^{122}$Snobtained by the DD-ME2 calculation is unlikely. This result derived from the295 MeV Sn(p,p) cross section data is consistent with the direct measurement ofthe neutron occupations in Sn isotopes by neutron transfer and pick-upreactions.

Neutron $3s_{1/2}$ occupation change across the stable tin isotopes investigated using isotopic analysis of proton scattering at 295 MeV