Theoretical study on $Λα$ and $Ξα$ correlation functions
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arXiv
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| Format: | Preprint |
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2024
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| author | Jinno, Asanosuke Kamiya, Yuki Hyodo, Tetsuo Ohnishi, Akira |
| author_facet | Jinno, Asanosuke Kamiya, Yuki Hyodo, Tetsuo Ohnishi, Akira |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09390 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Theoretical study on $Λα$ and $Ξα$ correlation functions Jinno, Asanosuke Kamiya, Yuki Hyodo, Tetsuo Ohnishi, Akira Nuclear Theory 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. |
| title | Theoretical study on $Λα$ and $Ξα$ correlation functions |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2410.09390 |