Are $N\bar\Omega$ bound states?

TL;DR

This study predicts that the $Nar{ ext{Omega}}$ system can form bound states with specific quantum numbers, suggesting they are promising candidates for experimental detection of exotic hexaquark states.

Contribution

It is the first to theoretically analyze the $Nar{ ext{Omega}}$ system using the quark delocalization color screening model, predicting bound states with specific quantum numbers.

Findings

Both $J^{P}=1^{+}$ and $2^{+}$ $Nar{ ext{Omega}}$ systems are bound.

The binding energies are deeper than those of corresponding $N ext{Omega}$ systems.

Supports the existence of $Nar{ ext{Omega}}$ bound states through phase shift and scattering analysis.

Abstract

Inspired by the progress of the experimental search of the $N\Omega$ dibaryon by the STAR collaboration, we study $N\bar{\Omega}$ systems in the framework of quark delocalization color screening model. Our results show that the attraction between $N$ and $\bar{\Omega}$ is a little bit larger than that between $N$ and $\Omega$, which indicates that it is more possible for the $N\bar{\Omega}$ than the $N\Omega$ system to form bound states. The dynamic calculations state that both the $J^{P}=1^{+}$ and $2^{+}$ $N\bar{\Omega}$ systems are bound states. The binding energy of these two states are deeper than that of $N\Omega$ systems with $J^{P}=2^{+}$, and the $N\Omega$ system with $J^{P}=1^{+}$ is unbound. The calculation of the low-energy scattering phase shifts, scattering length and the effective range also supports the existence of the $N\bar{\Omega}$ bound states with $J^{P}=1^{+}$ and $2^{+}$. So the $N\bar{\Omega}$ states are better hexaquark states and stronger signals are expected in experiments.