$χ_{c0}(1P)$ decay into $\barΣ~Σπ$ in search of an $I=1$, $1/2^-$ baryon state around $\bar K N$ threshold

We present the theoretical study of the process $χ_{c0}(1P)\to\barΣΣπ$ decay, by taking into account the $πΣ$ and $π\barΣ$ 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 $πΣ$ 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 $\bar KN$ threshold predicted by some theories and supported by some experiments.

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