Theoretical study on $Λα$ and $Ξα$ correlation functions

• DOI: 10.48550/arxiv.2410.09390
• Publication Date: 2024-01-01
• Authors: Jinno, Asanosuke; Kamiya, Yuki; Hyodo, Tetsuo; Ohnishi, Akira
• Keywords: Nuclear Theory (nucl-th); FOS: Physical sciences

13 pages, 4 figures, Proceedings of Hadron interactions with strangeness and charm, 26-28 Jun 2024<br/>We examine the $Λ$-${}^4\mathrm{He}$ ($α$) and $Ξα$ momentum correlation in high-energy collisions to further elucidate the properties of the hyperon-nucleon interactions. For the $Λα$ system, we compare $Λα$ potential models with different strengths at short range. We find that the difference among the models is visible in the momentum correlation from a small-size source. This indicates that the $Λα$ momentum correlation can constrain the property of the $ΛN$ interaction at short range, which plays an essential role in dense nuclear matter. For the $Ξα$ system, we employ the folding $Ξα$ potential based on the lattice QCD $ΞN$ interactions. The $Ξα$ potential supports a Coulomb assisted bound state of ${}^5_Ξ\mathrm{H}$ in the $Ξ^-α$ channel, while the $Ξ^0α$ channel is unbound. To examine the sensitivity of the correlation function to the nature of the $Ξα$ potential, we vary the potential strength simulating stronger and weaker interactions. The result of the correlation function clearly reflects the bound state nature in the $Ξ^-α$ correlation.<br/>