1/2⁻ α cluster resonances of ¹³C studied by the analytic continuation in the coupling constant

The 1/2⁻ resonant states in ¹³ C are investigated to search for the Hoyle-analog state. In order to treat the resonance states located around the 3α+n threshold, the analytic continuation in the coupling constant (ACCC) has been combined with the real-time evolution method (REM). The properties of the 1/2⁻ resonance states such as the radii and monopole transition probabilities are calculated. We show the 1/2⁻₃ and 1/2⁻₄ states are well-developed α cluster states, and the 1/2⁻₄ state is a candidate of the Hoyle-analog state.