Prediction of $p\bar{\Omega }$ states and femtoscopic study

Abstract

Inspired by recent researches on the $p\Omega$ and $p\bar{\Lambda }$ systems, we investigate the $p\bar{\Omega }$ systems within the framework of a quark model. Our results show that the attraction between a nucleon and $\bar{\Omega }$ is slightly stronger than that between a nucleon and $\Omega$, suggesting that the $p\bar{\Omega }$ system is more likely to form bound states. The dynamic calculations indicate that the $p\bar{\Omega }$ systems with both $J^P=1^{-}$ and $2^{-}$ can form bound states, with binding energies deeper than those of the $p\Omega$ systems with $J^P=2^{+}$. The scattering phase shift and scattering parameter calculations also support the existence of $p\bar{\Omega }$ states. Additionally, we discuss the behavior of the femtoscopic correlation function for the $p\bar{\Omega }$ pairs for the first time. Considering the significant progress in experimental measurements of the correlation function of the $p\Omega$ system, the further study of the $p\bar{\Omega }$ systems using femtoscopic techniques will be a very valuable work.

Comments: 11 pages, 3 figures