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

TL;DR

This paper investigates the decay patterns of the hypothesized $ar N_X(1625)$ under two molecular state assumptions, providing predictions that can help determine its true nature through experimental decay searches.

Contribution

It offers a comparative analysis of decay modes for $ar N_X(1625)$ assuming different molecular configurations, guiding future experimental investigations.

Findings

If $ar N_X(1625)$ is $ar{ ext{Lambda}}-K^-$, $K^{-}ar{ ext{Lambda}}$ decay dominates.

If $ar N_X(1625)$ is $ar{ ext{Sigma}}^0-K^-$, $ar N_X(1625) o ext{pions}$ decays are more prominent.

Searches for specific decay modes can distinguish between the molecular state hypotheses.

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 $\bar N_X(1625)$.