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

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.