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Gamov-Teller transitions from 14N ground to 14C ground and excited states
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Gamov-Teller transitions from the $^{14}$N ground state to the $^{14}$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 $^{14}$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 $2\hbar\omega$ excited configurations are relatively weak. The present calculation can not describe the anonymously long life time of $^{14}$C, though the strength of the $^{14}$C ground state is somewhat suppressed because of the cluster (many-body) correlation in the ground states of $^{14}$C and $^{14}$N.
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Benchmarking projected generator coordinate method for nuclear Gamow-Teller transitions
A minimal extension of the quantum-number projected generator coordinate method is benchmarked against exact solutions for Gamow-Teller transitions in Ca and Ti isotopes and the 2νββ decay of 48Ca.
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