1/2$^-$ $α$ cluster resonances of $^{13}$C studied by the analytic continuation in the coupling constant
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913315490365440 |
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| author | Shin, Seungheon Kimura, Masaaki Zhou, Bo Zhao, Qing |
| author_facet | Shin, Seungheon Kimura, Masaaki Zhou, Bo Zhao, Qing |
| contents | 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$α+n$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 1/2$^-$ $α$ cluster resonances of $^{13}$C studied by the analytic continuation in the coupling constant Shin, Seungheon Kimura, Masaaki Zhou, Bo Zhao, Qing Nuclear Theory 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$α+n$ 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. |
| title | 1/2$^-$ $α$ cluster resonances of $^{13}$C studied by the analytic continuation in the coupling constant |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2404.09712 |