Asymptotic normalization coefficients and neutron halo of the excited states in12Band13C

Abstract

The transfer reactions of ${}^{11}\mathrm{B}{\mathrm{}(d,p)\mathrm{}}^{12}\mathrm{B}$ and ${}^{12}\mathrm{C}{\mathrm{}(d,p)\mathrm{}}^{13}\mathrm{C},$ at incident energy of $11.8\hspace{0.5em}\mathrm{MeV},$ have been used to extract asymptotic normalization coefficients and root-mean-square radii for the last neutron in ${}^{12}\mathrm{B}$ and ${}^{13}\mathrm{C}.$ It is found experimentally that the second ${(J}^{\pi }{=2\mathrm{}}^{-})$ and third ${(J}^{\pi }{=1\mathrm{}}^{-})$ excited states in ${}^{12}\mathrm{B}$ and the first ${(J}^{\pi }{=1/2\mathrm{}}^{+})$ excited state in ${}^{13}\mathrm{C}$ are the neutron halo states, whereas the third ${(J}^{\pi }{=5/2\mathrm{}}^{+})$ excited state in ${}^{13}\mathrm{C}$ is a neutron skin state.