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arXiv · 2404.09712

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

Seungheon Shin·Masaaki Kimura·Bo Zhou·Qing Zhao
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Abstract

The 1/2$^-$ resonant states in $^{13}{\rm C}$ are investigated to search for the Hoyle-analog state. In order to treat the resonance states located around the 3$\alpha+n$ threshold, the 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 $\alpha$ cluster states, and the 1/2$^-_4$ state is a candidate of the Hoyle-analog state.

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Seungheon Shin, Masaaki Kimura, Bo Zhou, Qing Zhao. 2024-04-15. 1/2$^-$ $\alpha$ cluster resonances of $^{13}$C studied by the analytic continuation in the coupling constant. https://arxiv.org/abs/2404.09712

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