Charge radii of ${}^{11-16}$C, ${}^{13-17}$N and ${}^{15-18}$O determined from their charge-changing cross-sections and the mirror-difference charge radii

Abstract

Charge-changing cross-sections of ${}^{11-16}$C, ${}^{13-17}$N and ${}^{15-18}$O on a carbon target have been determined at energies around 300 MeV/nucleon. A nucleon separation energy-dependent correction factor has been introduced to the Glauber model calculation for extracting the nuclear charge radii from the experimental CCCSs. The charge radii of ${}^{11}$C, ${}^{13,16}$N and ${}^{15}$O thus were determined for the first time. With the new radii, we studied the experimental mirror-difference charge radii ($\Delta R_{\text{ch}}^{\text{mirror}}$) of ${}^{11}$B-${}^{11}$C, ${}^{13}$C-${}^{13}$N, ${}^{15}$N-${}^{15}$O, ${}^{17}$N-${}^{17}$Ne pairs for the first time. We find that the $\Delta R_{\text{ch}}^{\text{mirror}}$ values of ${}^{13}$C-${}^{13}$N and ${}^{15}$N-${}^{15}$O pairs follow well the empirical relation to the isospin asymmetry predicted by the $ab$ $initio$ calculations, while $\Delta R_{\text{ch}}^{\text{mirror}}$ of ${}^{11}$B-${}^{11}$C and ${}^{17}$N-${}^{17}$Ne pairs deviate from such relation by more than two standard deviations.

3 figures, submitted to Physics Letters B