Investigating the $p$-$Ω$ Interaction and Correlation Functions
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912174081835008 |
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| author | Yan, Ye Huang, Qi Yang, Youchang Huang, Hongxia Ping, Jialun |
| author_facet | Yan, Ye Huang, Qi Yang, Youchang Huang, Hongxia Ping, Jialun |
| contents | Motivated by experimental measurements, we investigate the $p$-$Ω$ correlation functions and interactions on the basis of a quark model. By solving the inverse scattering problem with channel coupling, we renormalize the coupling to other channels into an effective single-channel $p$-$Ω$ potentials. The effects of Coulomb interaction and spin-averaging are also discussed. According to our results, the depletion of the $p$-$Ω$ correlation functions, which is attributed to the $J^P = 2^+$ bound state not observed in the ALICE Collaboration's measurements [Nature \textbf{588}, 232 (2020)], can be explained by the contribution of the attractive $J^P = 1^+$ component in spin-averaging. So far, we have provided a consistent description of the $p$-$Ω$ system from the perspective of the quark model, including the energy spectrum, scattering phase shifts, and correlation functions. The existence of the $p$-$Ω$ bound state has been supported by all three aspects. Additionally, a sign of the $p$-$Ω$ correlation function's subtle sub-unity part can be seen in experimental measurements, which warrants more precise verification in the future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15493 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Investigating the $p$-$Ω$ Interaction and Correlation Functions Yan, Ye Huang, Qi Yang, Youchang Huang, Hongxia Ping, Jialun High Energy Physics - Phenomenology Nuclear Theory Motivated by experimental measurements, we investigate the $p$-$Ω$ correlation functions and interactions on the basis of a quark model. By solving the inverse scattering problem with channel coupling, we renormalize the coupling to other channels into an effective single-channel $p$-$Ω$ potentials. The effects of Coulomb interaction and spin-averaging are also discussed. According to our results, the depletion of the $p$-$Ω$ correlation functions, which is attributed to the $J^P = 2^+$ bound state not observed in the ALICE Collaboration's measurements [Nature \textbf{588}, 232 (2020)], can be explained by the contribution of the attractive $J^P = 1^+$ component in spin-averaging. So far, we have provided a consistent description of the $p$-$Ω$ system from the perspective of the quark model, including the energy spectrum, scattering phase shifts, and correlation functions. The existence of the $p$-$Ω$ bound state has been supported by all three aspects. Additionally, a sign of the $p$-$Ω$ correlation function's subtle sub-unity part can be seen in experimental measurements, which warrants more precise verification in the future. |
| title | Investigating the $p$-$Ω$ Interaction and Correlation Functions |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2408.15493 |