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We have studied the Gamow-Teller (GT) transitions from $N=Z+2$ neighbors to$N=Z=$ odd nuclei in $p$-shell region by using isospin-projected and$\beta\gamma$-constraint antisymmetrized molecular dynamics combined withgenerator coordinate method. The calculated GT transition strengths from $0^+1$states to $1^+0$ states such as ${}^{6} \textrm{He}(0_1^+1)\rightarrow{}^{6}\textrm{Li}(1_1^+0)$, ${}^{10} \textrm{Be}(0_1^+1)\rightarrow{}^{10}\textrm{B}(1_1^+0)$, and ${}^{14} \textrm{C}(0_1^+1)\rightarrow{}^{14}\textrm{N}(1_2^+0)$ exhaust more than 50\% of the sum rule. These $N=Z+2$initial states and $N=Z=$ odd final states are found to dominantly have$S=0,T=1$ $nn$ pairs and $S=1,T=0$ $pn$ pairs, respectively. Based ontwo-nucleon ($NN$) pair picture, we can understand the concentration of the GTstrengths as the spin-isospin-flip transition $nn(S=0,T=1)\rightarrowpn(S=1,T=0)$ in $LS$-coupling scheme. The GT transition can be a good probe toidentify the spin-isospin partner states with $nn$ pairs and $pn$ pairs of$N=Z+2$ and $N=Z=$ odd nuclei, respectively.

Gamow-Teller transitions and proton-neutron pair correlation in $N=Z=$ odd $p$-shell nuclei