用耦合常数解析延拓法研究$^{13}$C的1/2$^-$ $α$团簇共振态
1/2$^-$ $α$ cluster resonances of $^{13}$C studied by the analytic continuation in the coupling constant
AI总结：
本研究结合ACCC与REM方法，研究$^{13}$C的1/2$^-$ $α$团簇共振态以寻找霍伊尔类似态，发现1/2$^-_4$态为其候选者。
摘要：
为寻找霍伊尔（Hoyle）类似态，研究人员对$^{13}$C中的1/2$^-$共振态展开了研究。为处理位于3$α$+n阈值附近的共振态，研究将耦合常数解析延拓法（ACCC）与实时演化方法（REM）相结合，计算了1/2$^-$共振态的半径、单极跃迁概率等性质。结果表明，1/2$^-_3$态和1/2$^-_4$态是发育成熟的$α$团簇态，其中1/2$^-_4$态是霍伊尔类似态的候选者。
英文摘要：
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.
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