English

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

Nuclear Theory 2024-04-16 v1

Abstract

The 1/2^- resonant states in 13C^{13}{\rm C} are investigated to search for the Hoyle-analog state. In order to treat the resonance states located around the 3α+n\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 1/23^-_3 and 1/24^-_4 states are well-developed α\alpha cluster states, and the 1/24^-_4 state is a candidate of the Hoyle-analog state.

Keywords

Cite

@article{arxiv.2404.09712,
  title  = {1/2$^-$ $\alpha$ cluster resonances of $^{13}$C studied by the analytic continuation in the coupling constant},
  author = {Seungheon Shin and Masaaki Kimura and Bo Zhou and Qing Zhao},
  journal= {arXiv preprint arXiv:2404.09712},
  year   = {2024}
}