Double-pole nature of $\Lambda(1405)$ studied with coupled-channel complex scaling method using complex-range Gaussian basis

Understand

The excited hyperon $\Lambda(1405)$ is the important building block for kaonic nuclei which are nuclear many-body system with anti-kaons.

• We have been investigating the $\Lambda(1405)$ resonance with the coupled-channel Complex Scaling Method (ccCSM) in which the $\Lambda(1405)$ is treated as a hadron-molecular state of a $\bar{K}N$-$\pi\Sigma$ coupled system.
• We use a $\bar{K}N$(-$\pi Y$) potential based on the chiral SU(3) theory.
• In this article, we report the double-pole nature of the $\Lambda(1405)$, which is a characteristic property predicted by many studies with chiral SU(3)-based models.