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

Abstract

Considering two molecular state assumptions, i.e. S-wave $\bar{\Lambda }-K^{-}$ and S-wave ${\bar{\Sigma }}^0-K^{-}$ molecular states, we study the possible decays of ${\bar{N}}_X(1625)$ that include ${\bar{N}}_X(1625)\to K^{-}\bar{\Lambda },{\pi }^0\bar{p},\eta \bar{p},{\pi }^{-}\bar{n}$. Our results indicate: (1) if ${\bar{N}}_X(1625)$ is $\bar{\Lambda }-K^{-}$ molecular state, $K^{-}\bar{\Lambda }$ 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 ${\bar{\Sigma }}^0-K^{-}$ molecular state, the branching ratio of ${\bar{N}}_X(1625)\to K^{-}\bar{\Lambda }$ is one or two order smaller than that of ${\bar{N}}_X(1625)\to {\pi }^0\bar{p},\eta \bar{p},{\pi }^{-}\bar{n}$. Thus the search for ${\bar{N}}_X(1625)\to {\pi }^0\bar{p},\eta \bar{p},{\pi }^{-}\bar{n}$ will be helpful to shed light on the nature of ${\bar{N}}_X(1625)$.

Comments: 6 pages, 3 figures, 2 tables. The title changed. More discussion added