Gamow-Teller transitions from the14Nground state to the14Cground and excited states

Abstract

Gamow-Teller transitions from the ${}^{14}\mathrm{N}$ ground state to the ${}^{14}\mathrm{C}$ ground and excited states were investigated, based on the model of antisymmetrized molecular dynamics. The calculated strengths for the allowed transitions to the ${0}^{+}$, ${1}^{+}$, and ${2}^{+}$ states of ${}^{14}\mathrm{C}$ were compared with the experimental data measured by high-resolution charge-exchange reactions. The calculated GT transition to the ${2}_{1}^{+}$ state is strong while those to the ${0}_{2,3}^{+}$ and ${2}_{2,3}^{+}$ states having dominant $2\ensuremath{\hbar}\ensuremath{\omega}$ excited configurations are relatively weak. The present calculation cannot describe the anonymously long lifetime of ${}^{14}\mathrm{C}$, though the strength of the ${}^{14}\mathrm{C}$ ground state is somewhat suppressed because of the cluster (many-body) correlation in the ground states of ${}^{14}\mathrm{C}$ and ${}^{14}\mathrm{N}$.