$\Lambda^*$-hyper-nuclei with chiral dynamics

Bound states of $\Lambda^*=\Lambda(1405)$ in nuclei, the $\Lambda^*$-hyper-nuclei, are studied from the viewpoint of chiral dynamics. As the $\Lambda^*$ is formed by a strong attraction between $\bar{K}$ and the nucleon, the $\Lambda^*$- hyper-nuclei can be a main component of the $\bar{K}$ nucleon bound states. We use an extension of the Nijmegen one-boson- exchange potential for the interaction between $\Lambda^*$ and nucleon. The coupling constants concerning the $\Lambda^*$ are determined by a microscopic theory based on chiral dynamics of meson-baryon systems. We discuss the level structure of the $\Lambda^*$-hyper-nuclei in the case when the $\Lambda^*$ is described as a superposition of two states.