anti-K anti-K N molecule state in three-body calculation

Abstract

A $\bar{K}\bar{K}N$ system with $I=1/2$ and $J^P=1/2^+$ is investigated with non-relativistic three-body calculations by using effective $\bar{K}N$ and $\bar K \bar K$ interactions. The present investigation suggests that a weakly bound state for the $\bar{K}\bar{K}N$ system can be formed below the two-body threshold of $\bar{K}$ and quasibound $\bar{K}N$ with a $40 \sim 60$ MeV decay width of $\bar{K}\bar{K}N\to \pi Y\bar{K}$. This corresponds to an excited $\Xi$ baryon with $J^P=1/2^+$ located around 1.9 GeV. Studying the wave function of the $\bar{K}\bar{K}N$ system obtained in this formulation, we find that the three-body bound system has a characteristic structure of $\bar K N$+$\bar K$ cluster with spatial extent.