We study $\mathrm{\Xi }{-}^4\mathrm{He}$ ($\alpha$) momentum correlation functions in high-energy nuclear collisions to investigate the nature of the $\mathrm{\Xi }N$ interactions. We employ the folding $\mathrm{\Xi }\alpha$ potential based on the lattice QCD $\mathrm{\Xi }N$ interactions to compute the correlation function. The $\mathrm{\Xi }\alpha$ potential supports a Coulomb-assisted bound state ${}_{\mathrm{\Xi }}^5\mathrm{H}$ in the ${\mathrm{\Xi }}^{-}\alpha$ channel, while the ${\mathrm{\Xi }}^0\alpha$ channel is unbound. To examine the sensitivity of the correlation function to the nature of the $\mathrm{\Xi }\alpha$ interaction, we vary the potential strength, simulating stronger and weaker interactions. The result of the correlation function is sensitive to the existence of the bound state in the ${\mathrm{\Xi }}^0\alpha$ channel, and the characteristic behavior of the bound state also remains in the ${\mathrm{\Xi }}^{-}\alpha$ correlation with the Coulomb interaction. The effect of the repulsive core of the $\mathrm{\Xi }\alpha$ potential can be found in the correlation from the small source as a distinctive dip in the intermediate momentum region.

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• Few-body systems
• Hadron-hadron interactions
• Hyperons