Probing the hadronic molecular nature of the $\Omega(2012)$, $\Omega(2380)$, and $\Omega_c(3120)$ via femtoscopy correlation functions

TL;DR

This study uses femtoscopic correlation functions and effective potential models to explore the internal structures of certain $ ext{Omega}$ resonances, providing evidence for their hadronic molecular nature.

Contribution

It introduces a method to probe the molecular structure of $ ext{Omega}$ resonances through correlation functions, with numerical results supporting their dynamical generation.

Findings

Pronounced enhancement in $ ext{Xi}^0K^-$ and $ ext{Xi}_c^+K^-$ correlation functions.

Evidence for $ ext{Omega}(2012)$ and $ ext{Omega}_c(3120)$ as dynamically generated states.

Low-momentum enhancements in $ ext{Xi}^{*0}K^-$ and $ ext{Xi}^{*0}K^{*-}$ channels.

Abstract

We investigate the femtoscopic correlation functions of systems associated with the $\Omega(2012)$, $\Omega(2380)$, and $\Omega_c(3120)$ resonances, with the aim of elucidating their internal structures. By employing effective potential models that incorporate both $s$-wave and $d$-wave interactions, we calculate the correlation functions for the relevant coupled channels. Our numerical results reveal pronounced enhancement structures in the $\Xi^0K^-$ and $\Xi_c^+K^-$ correlation functions, which provide direct evidences for the dynamically generated $\Omega(2012)$ and $\Omega_c(3120)$ states. Furthermore, significant low-momentum enhancements are observed in the $\Xi^{*0}K^-$ and $\Xi^{*0}K^{*-}$ channel, which are attributed to the $\Omega(2012)$ and $\Omega(2380)$ resonances. These theoretical calculations provide crucial insights for future high-precision measurements at the LHC and RHIC, offering a novel and independent approach to determine the dynamically generated hadronic molecular nature of these $\Omega$ excited states.