$K^-pp$系统的全耦合通道复定标方法
Fully coupled-channel complex scaling method for the $K^-pp$ system
摘要：
我们发展了一种完全耦合通道复标度方法（ccCSM），用于研究最基本的K介子核$``K^-pp,"$，它是基于理论观点的$\bar{K}NN$ - $πΣN$ - $πΛN$耦合通道系统的共振态.通过采用ccCSM和施加正确的边界条件的共振，耦合通道的问题是完全解决了使用唯象的能量无关的潜力。作为$``K^-pp,"$的ccCSM计算的结果，其中所有三个通道被显式地处理，我们已经获得了作为伽莫夫态的三体共振。共振极点表明，$``K^-pp"$的结合能和介子衰变宽度的半值分别为51 MeV和16 MeV。在使用ccCSM得到的共振波函数的分析中，我们澄清的空间配置和通道组成的$``K^-pp."$与过去的研究相比，单通道计算的基础上有效的$\bar{K}N$电位，目前的研究提供了一个指导方针，用于确定的$\bar{K}N$的能量在有效电位。
英文摘要：
We have developed a fully coupled-channel complex scaling method (ccCSM) for the study of the most essential kaonic nucleus, $``K^-pp,"$ which is a resonant state of a $\bar{K}NN$-$πΣN$-$πΛN$ coupled-channel system based on a theoretical viewpoint. By employing the ccCSM and imposing the correct boundary condition of resonance, the coupled-channel problem is completely solved using a phenomenological energy-independent potential. As a result of the ccCSM calculation of $``K^-pp,"$ in which all three channels are treated explicitly, we have obtained three-body resonance as a Gamow state. The resonance pole indicates that the binding energy of $``K^-pp"$ and the half value of its mesonic decay width are 51 MeV and 16 MeV, respectively. In the analysis of the resonant wave function obtained using the ccCSM, we clarify the spatial configuration and channel compositions of $``K^-pp."$ Compared with past studies of single-channel calculations based on effective $\bar{K}N$ potentials, the current study provides a guideline for the determination of the $\bar{K}N$ energy to be used in effective potentials.
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