1/2${}^{-}$ $\alpha$ cluster resonances of ${}^{13}$C studied by the analytic continuation in the coupling constant

Seungheon Shin, Masaaki Kimura, Bo Zhou +1

The 1/2${}^{-}$ resonant states in ${}^{13}\mathrm{C}$ are investigated to search for the Hoyle-analog state. In order to treat the resonance states located around the 3$\alpha +n$ threshold, the…