$J/\psi \Lambda $ femtoscopy and the nature of $P_{\psi s}^{\Lambda}(4338)$

TL;DR

This paper investigates the nature of the $P_{cs}(4338)$ pentaquark candidate through femtoscopy, extracting potentials and predicting scattering properties to guide future experimental studies.

Contribution

It provides the first coupled-channel potential analysis of $J/psi \u2208 \, ar{D} \, ext{Xi}_c$, predicting a bound state and offering theoretical benchmarks for femtoscopy.

Findings

Identification of a bound state below the D Xi_c threshold.

Predictions of scattering lengths for $J/psi \\Lambda$ and $\bar{D} \\Xi_c$ channels.

Theoretical momentum correlation functions for future femtoscopy experiments.

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 $B^{-} \rightarrow J/\psi \Lambda \bar{p}$ and observed a narrow peak in the $J/\psi \Lambda$ invariant mass spectrum, regarding it as a candidate for a pentaquark. In this work, we extract the coupled-channel $J / \psi \Lambda-\bar{D} \Xi_c-\bar{D}_s \Lambda_c$ potential based on the $J/\psi \Lambda$ invariant mass spectrum. Our results indicate the existence of a bound state below the $\bar{D} \Xi_c$ mass threshold, corresponding to the experimentally measured state $P_{cs}(4338)$. Furthermore, we predict the scattering lengths and momentum correlation functions for the $J/\psi \Lambda$ and $\bar{D}\Xi_c$ channels, which serve as theoretical references for future femtoscopy experiments.