Nature of the newly found $\Omega(2109)$

Abstract

We present model calculations to reveal the nature of the newly found $\Omega^-(2109)$ by the BESIII Collaboration, and show that the state has a strong correlation with the $\bar K^*(892)\Xi$ system. Our study is based on solving scattering equations in a coupled channel approach, which involves $K^-\Xi^0$, $\bar K^0\Xi^-$, $K^{*-}\Xi^0$, and $\bar K^{*0}\Xi^-$. We obtain the lowest order amplitudes for different spin and isospin cases and find that an isoscalar state with spin-parity $1/2^-$ is generated with precisely the same mass as $\Omega^-(2109)$. We do not find any state with total spin 3/2, nor do we find any state in the isovector sector. We determine correlation functions to encourage such an experimental study and confirm the nature of $\Omega^-(2109)$.