What can we learn from the decay of $ N_X(1625)$ in molecule picture?

Abstract

Considering two molecular state assumptions, i.e. S-wave $\barΛ-K^-$ and S-wave $\barΣ^0-K^-$ molecular states, we study the possible decays of $\bar N_X(1625)$ that include $\bar N_X(1625)\to K^{-}\barΛ, π^{0}\bar{p}, η\bar{p}, π^{-}\bar{n}$. Our results indicate: (1) if $\bar N_{X}(1625)$ is $\barΛ-K^-$ molecular state, $K^{-}\barΛ$ is the main decay modes of $\bar N_{X}(1625)$, and the branching ratios of the rest decay modes are tiny; (2) if $\bar N_{X}(1625)$ is $\barΣ^0-K^-$ molecular state, the branching ratio of $\bar N_{X}(1625)\to K^{-}\barΛ$ is one or two order smaller than that of $\bar N_{X}(1625)\to π^{0}\bar{p}, η\bar{p}, π^{-}\bar{n}$. Thus the search for $\bar N_X(1625)\to π^{0}\bar{p}, η\bar{p}, π^{-}\bar{n}$ will be helpful to shed light on the nature of $\bar N_X(1625)$.