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arXiv · 2409.13207

Theoretical study of the $\Xi\alpha$ correlation function

Yuki Kamiya·Asanosuke Jinno·Tetsuo Hyodo·Akira Ohnishi
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Abstract

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

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Yuki Kamiya, Asanosuke Jinno, Tetsuo Hyodo, Akira Ohnishi. 2024-09-20. Theoretical study of the $\Xi\alpha$ correlation function. https://doi.org/10.1103/284r-hvcg

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