$\Xi$(2030) and $\Xi$(2120) as $\bar{K}^*\Sigma$ molecular states

TL;DR

This study investigates ar{K}^*\Sigma interactions using a quasipotential Bethe-Salpeter approach, predicting molecular states that could correspond to known \xi(2030) and \xi(2120) baryons, expanding understanding of hadronic molecular states.

Contribution

The paper introduces a novel application of the quasipotential Bethe-Salpeter equation with meson-exchange potentials to identify molecular states from ar{K}^*\Sigma interactions, suggesting new interpretations of \xi(2030) and \xi(2120).

Findings

Predicted a ar{K}^*\Sigma bound state matching \xi(2030).

Identified potential molecular states for \xi(2120).

Discovered additional isospin 3/2 bound states.

Abstract

In this work, the molecular states from the \bar{K}^{*}\Sigma interaction are studied in a quasipotential Bethe-Salpeter equation approach with the one-boson-exchange potentials. We consider the exchanges of vector (\rho,\omega and \phi) mesons and pseudoscalar (\pi and \eta) mesons to describe the \bar{K}^{*}\Sigma interaction with the coupling constants determined by the SU(3) symmetry, The poles of the scattering amplitude are searched for to find the molecular states dynamically generated from the \bar{K}^{*}\Sigma interaction. A bound state with quantum number I(J^{p})=1/2(5/2^{+}) is produced, which can be associated to the \Xi(2030) baryon. Other bound states with J\le{}5/2 are also searched for and it is found that there exist bound states with quantum numbers I(J^P)=1/2(1/2^-), 1/2(3/2^{-}), and 1/2(3/2^+). The \Xi(2120) may be a candidate for one of these three bound states. In addition, we also find two bound states with isospin 3/2 and spin parities 1/2^- and 1/2^+.