$J/\ddot{I}ˆ\hat{I}›$ femtoscopy and the nature of $P_{\ddot{I}ˆs}^{\hat{I}}›(4338)$

Abstract

Over the past two decades, numerous exotic hadron states have been discovered, yet their underlying nature remains unclear. It is widely acknowledged that understanding hadron-hadron interactions is essential to unraveling their properties. Hadron spectroscopy is a powerful tool for this endeavor, providing rich experimental data that can shed light on exotic systems. Recently, the LHCb experiment analyzed the process $B^{-}\to J/\ddot{I}ˆ\hat{I}›\bar{p}$ and observed a narrow peak in the $J/\ddot{I}ˆ\hat{I}›$ invariant mass spectrum, regarding it as a candidate for a pentaquark. In this work, we extract the coupled-channel $J/\ddot{I}ˆ\hat{I}›-\bar{D}\hat{I}{ž}_c-{\bar{D}}_s\hat{I}{›}_c$ potential based on the $J/\ddot{I}ˆ\hat{I}›$ invariant mass spectrum. Our results indicate the existence of a bound state below the $\bar{D}\hat{I}{ž}_c$ mass threshold, corresponding to the experimentally measured state $P_{cs}(4338)$. Furthermore, we predict the scattering lengths and momentum correlation functions for the $J/\ddot{I}ˆ\hat{I}›$ and $\bar{D}\hat{I}{ž}_c$ channels, which serve as theoretical references for future femtoscopy experiments.

9 pages, 7 figures