Femtoscopic study of the $Λα$ interaction
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909242154287104 |
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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 $Λ$-${}^4\mathrm{He}$ ($α$) momentum correlation in high-energy collisions to elucidate the interaction between Lambdas ($Λ$) and nucleons ($N$). We compare phenomenological $Λα$ potentials with different strengths at short range. In addition to the conventional Gaussian-type potentials, we construct the $Λα$ potentials by substituting the nucleon density distribution in $α$ into the Skyrme-type $Λ$ potentials. We find that the dependence on the employed potential models is visible in the correlation functions from a small-size source. This indicates that the $Λα$ momentum correlation could constrain the property of the $ΛN$ interaction at high densities, which is expected to play an essential role in dense nuclear matter. Also, we verify that the Lednicky-Lyuboshits formula can yield erroneous results for a small-size source with a potential which has a large interaction range, like the $Λα$ system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09126 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Femtoscopic study of the $Λα$ interaction Jinno, Asanosuke Kamiya, Yuki Hyodo, Tetsuo Ohnishi, Akira Nuclear Theory We examine the $Λ$-${}^4\mathrm{He}$ ($α$) momentum correlation in high-energy collisions to elucidate the interaction between Lambdas ($Λ$) and nucleons ($N$). We compare phenomenological $Λα$ potentials with different strengths at short range. In addition to the conventional Gaussian-type potentials, we construct the $Λα$ potentials by substituting the nucleon density distribution in $α$ into the Skyrme-type $Λ$ potentials. We find that the dependence on the employed potential models is visible in the correlation functions from a small-size source. This indicates that the $Λα$ momentum correlation could constrain the property of the $ΛN$ interaction at high densities, which is expected to play an essential role in dense nuclear matter. Also, we verify that the Lednicky-Lyuboshits formula can yield erroneous results for a small-size source with a potential which has a large interaction range, like the $Λα$ system. |
| title | Femtoscopic study of the $Λα$ interaction |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2403.09126 |