Possible $B^{(\ast)} \bar{K}$ hadronic molecule state

TL;DR

This paper investigates the possibility that the $X(5568)$ and $X(5616)$ are hadronic molecules composed of $B ar{K}$ and $B^ ext{ extasterisk} ar{K}$, and estimates their decay widths to match experimental observations.

Contribution

It provides a decay width analysis supporting the interpretation of $X(5568)$ and $X(5616)$ as hadronic molecules within specific model parameters.

Findings

Decay widths of $X(5568)$ and $X(5616)$ can match experimental data

Both states are consistent with $B ar{K}$ and $B^ ext{ extasterisk} ar{K}$ molecular structures

Model parameters can be tuned to fit observed decay behaviors

Abstract

In the present work, we estimate the decays of the $X(5568)$ and $X(5616)$ in a $B \bar{K}$ and a $B^\ast \bar{K}$ $S$-wave hadronic molecule scenarios, respectively, which may corresponding to the structure observed by D0 Collaboration. Our estimation indicates both $B\bar{K}$ and $B^\ast \bar{K}$ hadronic molecule decay widths could explain the experimental data in a proper model parameter range.