${\chi }_{c0}(1P)$ decay into $\bar{\Sigma }\Sigma \pi$ in search of an $I=1$, $1/2^{-}$ baryon state around $\bar{K}N$ threshold

Abstract

We present the theoretical study of the process ${\chi }_{c0}(1P)\to \bar{\Sigma }\Sigma \pi$ decay, by taking into account the $\pi \Sigma$ and $\pi \bar{\Sigma }$ final state interactions of the final meson-baryon pair based on the chiral unitary approach. We show that the process filters the isospin $I=1$ in the $\pi \Sigma$ channel and offers a reaction to test the existence of an $I=1$ state with strangeness $S=-1$ and spin-parity $J^p=1/2^{-}$ around the $\bar{K}N$ threshold predicted by some theories and supported by some experiments.

Comments: 8 pages, 8 figures, 1 table, the version for PLB