Investigating the p-Ω interactions and correlation functions

Motivated by experimental measurements, we investigate the p-Ω correlation functions and interactions on the basis of a quark model. By solving the inverse scattering problem with channel coupling, we renormalize the coupling to other channels into an effective single-channel p-Ω potentials. The effects of Coulomb interaction and spin-averaging are also discussed. According to our results, the depletion of the p-Ω correlation functions, which is attributed to the J^P = 2⁺ bound state not observed in the ALICE Collaboration’s measurements (Nature 588, 232 (2020)), can be explained by the contribution of the attractive J^P = 1⁺ component in spin-averaging. So far, we have provided a consistent description of the p-Ω system from the perspective of the quark model, including the energy spectrum, scattering phase shifts, and correlation functions. The existence of the p-Ω bound state has been supported by all three aspects. Additionally, a sign of the p-Ω correlation function’s subtle sub-unity part can be seen in experimental measurements, which warrants more precise verification in the future.