Investigating $\Omega \phi$ Interaction and Correlation Functions

TL;DR

This study explores the interaction between the $ ext{Omega}$ baryon and the $ ext{phi}$ meson using a quark model, revealing weak attraction in some channels and analyzing correlation functions relevant for heavy-ion collision experiments.

Contribution

The paper applies the quark delocalization color screening model to analyze $ ext{Omega} ext{phi}$ interactions and correlation functions, providing new insights into their scattering behavior and experimental signatures.

Findings

No bound states found in considered channels.

Weak attraction in the $ ext{Omega} ext{phi}$ interaction with $J^{P}=1/2^{-}$.

Correlation functions show weak dependence on source size due to spin-averaging.

Abstract

In this work, we investigate the interaction between the $\Omega$ baryon and the $s\bar{s}$ meson within the framework of the quark delocalization color screening model. The spectra calculations show that no bound state is formed in any of the considered channels, while the scattering indicates that the $\Omega\phi$ interaction with $J^{P}=1/2^{-}$ is weakly attractive. As for the $\Omega\phi$ interactions with $J^{P}=3/2^{-}$ and $5/2^{-}$, as well as the $\Omega\eta^{\prime}$ interaction with $J^{P}=3/2^{-}$, they are all repulsive. After an investigation on the femtoscopic correlation functions, we find that, due to the spin-averaging effect, the overall $\Omega\phi$ correlation function exhibits a weak dependence on the source size, which provides a crucial significance of our model for future experimental examinations in relativistic heavy-ion collisions.