Reaction cross section of proton scattering consistent with PREX-II (published in Results in Physics)

Abstract

Background: The neutron skin thickness $R_{\mathrm{skin}}^{\mathrm{PV}}$ of PREX-II is presented in Phys. Rev. Lett. {\bf 126}, 172502 (2021). The reaction cross section $\ddot{I}{ƒ}_R$ is useful to determine the matter radius $R_m$ and $R_{\mathrm{skin}}$. For proton scattering, the reaction cross section $\ddot{I}{ƒ}_R$ are available for $E_{\mathrm{in}}>400$ MeV. Method and results: We determine $R_n^{\exp }=5.727\pm 0.071$ fm and $R_m^{\exp }=5.617\pm 0.044$ fm from $R_p^{\exp }$ = 5.444 fm and $R_{\mathrm{skin}}^{\mathrm{PV}}$. The $R_p^{\mathrm{GHFB}}$ calculated with D1S-GHFB with the angular momentum projection (AMP). agrees with $R_p^{\exp }$. The neutron density calculated with GHFB+AMP is scaled so as to $R_n^{\mathrm{scaling}}=5.727$ fm. The Love-Franey $t$-matrix model with the scaled densities reproduces the data on $\ddot{I}{ƒ}_R$. Aim: Our aim is to find the $\ddot{I}{ƒ}_R$ of proton scattering consistent with $R_{\mathrm{skin}}^{\mathrm{PV}}$. Conclusion: The $\ddot{I}{ƒ}_R$ of proton scattering consistent with $R_{\mathrm{skin}}^{\mathrm{PV}}$ are $\ddot{I}{ƒ}_R^{\exp }$ at $E_{\mathrm{in}}=534.1,549,806$ MeV.

arXiv admin note: text overlap with arXiv:2010.02450