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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.10245 |
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| _version_ | 1866913578826596352 |
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| author | Feijoo, A. Sarti, V. Mantovani Nieves, J. Ramos, A . Vidaña, I |
| author_facet | Feijoo, A. Sarti, V. Mantovani Nieves, J. Ramos, A . Vidaña, I |
| contents | We study the compatibility between the $K^-Λ$ correlation function, recently measured by the ALICE collaboration, and the LHCb $K^-Λ$ invariant mass distribution obtained in the $Ξ^-_b \to J/ψΛK^-$ decay. The $K^-Λ$ invariant mass distribution associated with the $Ξ^-_b$ decay has been calculated within the framework of Unitary Effective Field Theories using two models, one of them constrained by the $K^-Λ$ correlation function. We consider two degenerate pentaquark $P_{cs}$ states in the $J/ψΛ$ scattering amplitude which allows us to investigate their impact on both the $K^-Λ$ and $J/ψΛ$ mass distributions assuming different spin-parity quantum numbers and multiplicity. Without any fitting procedure, the $K^-Λ$ model is able to better reproduce the experimental $K^-Λ$ mass spectrum in the energy region above $1680$ MeV as compared to previous unitarized scattering amplitudes constrained to a large amount of experimental data in the neutral $S=-1$ meson-baryon sector. We observe a tension between our model and the LHCb $K^-Λ$ distribution in the region close to the threshold, largely dominated by the presence of the still poorly known $Ξ$(1620) state. We discuss in detail the different production mechanisms probed via femtoscopy and spectroscopy that could provide valid explanations for such disagreement, indicating the necessity to employ future correlation data in other $S=-2$ channels such as $πΞ$ and $\bar{K}Σ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10245 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bridging correlation and spectroscopy measurements to access the hadron interaction behind molecular states: the case of the $Ξ$(1620) and $Ξ$(1690) in the $K^- Λ$ system Feijoo, A. Sarti, V. Mantovani Nieves, J. Ramos, A . Vidaña, I High Energy Physics - Phenomenology We study the compatibility between the $K^-Λ$ correlation function, recently measured by the ALICE collaboration, and the LHCb $K^-Λ$ invariant mass distribution obtained in the $Ξ^-_b \to J/ψΛK^-$ decay. The $K^-Λ$ invariant mass distribution associated with the $Ξ^-_b$ decay has been calculated within the framework of Unitary Effective Field Theories using two models, one of them constrained by the $K^-Λ$ correlation function. We consider two degenerate pentaquark $P_{cs}$ states in the $J/ψΛ$ scattering amplitude which allows us to investigate their impact on both the $K^-Λ$ and $J/ψΛ$ mass distributions assuming different spin-parity quantum numbers and multiplicity. Without any fitting procedure, the $K^-Λ$ model is able to better reproduce the experimental $K^-Λ$ mass spectrum in the energy region above $1680$ MeV as compared to previous unitarized scattering amplitudes constrained to a large amount of experimental data in the neutral $S=-1$ meson-baryon sector. We observe a tension between our model and the LHCb $K^-Λ$ distribution in the region close to the threshold, largely dominated by the presence of the still poorly known $Ξ$(1620) state. We discuss in detail the different production mechanisms probed via femtoscopy and spectroscopy that could provide valid explanations for such disagreement, indicating the necessity to employ future correlation data in other $S=-2$ channels such as $πΞ$ and $\bar{K}Σ$. |
| title | Bridging correlation and spectroscopy measurements to access the hadron interaction behind molecular states: the case of the $Ξ$(1620) and $Ξ$(1690) in the $K^- Λ$ system |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.10245 |