Matter radii and skins of ${}^{6,8}$He from reaction cross section of proton+${}^{6,8}$He scattering based on the Love-Franey $t$-matrix model (published in Results in Physics)

Abstract

For ${}^{4,6,8}$He, Tanihata et al. determined matter radii $r_m(\ddot{I}{ƒ}_{\mathrm{I}})=1.57(4),2.48(3),2.52(3)$~fm from interaction cross sections $\ddot{I}{ƒ}_{\mathrm{I}}$ for ${}^{4,6,8}$He scattering on Be, C Al targets at 790~MeV/nucleon. Lu et al. measured the atomic isotope shifts (AIS) for ${}^{4,6,8}$He and determined proton radii $r_p(\mathrm{AIS})$ for ${}^{4,6,8}$He. As for p+${}^{4,6,8}$He scattering, reaction cross sections $\ddot{I}{ƒ}_{\mathrm{R}}(\exp )$ are available at 700~MeV with high accuracy. Our aim is to determine matter radii $r_m$ and skins $r_{\mathrm{skin}}$ for ${}^{6,8}$He from the $\ddot{I}{ƒ}_{\mathrm{R}}(\exp )$ and the $r_p(\mathrm{AIS})$. {\bf Method:} Our model is the Love-Franey $t$-matrix folding model, since the model is better than the optical limit of Glauber model. Our results for ${}^{6,8}$He are $r_m(\exp )=2.48(3),2.53(2)$~fm and $r_{\mathrm{skin}}=$0.78(3), 0.82(2)~fm. For ${}^{6,8}$He, our results $r_m(\ddot{I}{ƒ}_{\mathrm{R}})$ agree with those of Tanihata {\it et al.}. For ${}^8$He, the distance between ${}^4$He and the center of mass of valence four neutrons is 2.367~fm.