# $p\Xi^- $ Correlation in Relativistic Heavy Ion Collisions with Nucleon-Hyperon Interaction from Lattice QCD

## TL;DR

This paper uses lattice QCD to analyze the proton-Xi minus interaction and predicts a measurable correlation enhancement in heavy ion collisions, aiding understanding of hyperon-nucleon forces.

## Contribution

It provides the first lattice QCD-based prediction of $p ext{-}\Xi^-$ correlations in heavy ion collisions, linking fundamental interactions to experimental observables.

## Key findings

- Enhanced low-momentum correlation due to strong attraction.
- Potential to constrain hyperon-nucleon interactions through experiments.
- Provides a theoretical framework connecting lattice QCD and heavy ion collision data.

## Abstract

On the basis of the $p\Xi^-$ interaction extracted from (2+1)-flavor lattice QCD simulations at the physical point, the momentum correlation of $p$ and $\Xi^-$ produced in relativistic heavy ion collisions is evaluated. $C_{\rm SL}(Q)$ defined by a ratio of the momentum correlations between the systems with different source sizes is shown to be largely enhanced at low momentum due to the strong attraction between $p$ and $\Xi^-$ in the $I=J=0$ channel. Thus, measuring this ratio at RHIC and LHC and its comparison to the theoretical analysis will give a useful constraint on the $p\Xi^-$ interaction.