Signatures of Odd-Parity $s$-wave $Ξ^*$ States in Femtoscopic Correlation Functions
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arXiv
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| Format: | Preprint |
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2025
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| author | Lin, Jia-Xin Encarnación, Pablo Albaladejo, Miguel Feijoo, Albert |
| author_facet | Lin, Jia-Xin Encarnación, Pablo Albaladejo, Miguel Feijoo, Albert |
| contents | We investigate the $Ξ^*$ resonances within the molecular picture, where these states are dynamically generated as poles in the unitarized scattering amplitudes arising from the coupled-channel interactions of $K^{*-} Λ$, $K^{*-} Σ^0$, $ρ^- Ξ^0$, $\overline{K}{}^{*0} Σ^-$, $ρ^0 Ξ^-$, $ωΞ^-$, and $ϕΞ^-$. The interaction kernel is derived from the local hidden gauge formalism, while the unitarization procedure employs a hybrid method that combines cutoff and dimensional regularizations in the evaluation of the loop function. From a detailed spectroscopic analysis, we identify two $S = -2$ baryon states whose properties are compatible with some of the $Ξ^*$ resonances listed in the Review of Particle Physics. To explore their possible experimental signatures, we compute the femtoscopic correlation functions for all the vector-baryon pairs considered in the present study, using realistic estimates of production weights and varying source sizes $R = 1, 1.1, 1.2, 1.3, 1.5$ fm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10505 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Signatures of Odd-Parity $s$-wave $Ξ^*$ States in Femtoscopic Correlation Functions Lin, Jia-Xin Encarnación, Pablo Albaladejo, Miguel Feijoo, Albert High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory We investigate the $Ξ^*$ resonances within the molecular picture, where these states are dynamically generated as poles in the unitarized scattering amplitudes arising from the coupled-channel interactions of $K^{*-} Λ$, $K^{*-} Σ^0$, $ρ^- Ξ^0$, $\overline{K}{}^{*0} Σ^-$, $ρ^0 Ξ^-$, $ωΞ^-$, and $ϕΞ^-$. The interaction kernel is derived from the local hidden gauge formalism, while the unitarization procedure employs a hybrid method that combines cutoff and dimensional regularizations in the evaluation of the loop function. From a detailed spectroscopic analysis, we identify two $S = -2$ baryon states whose properties are compatible with some of the $Ξ^*$ resonances listed in the Review of Particle Physics. To explore their possible experimental signatures, we compute the femtoscopic correlation functions for all the vector-baryon pairs considered in the present study, using realistic estimates of production weights and varying source sizes $R = 1, 1.1, 1.2, 1.3, 1.5$ fm. |
| title | Signatures of Odd-Parity $s$-wave $Ξ^*$ States in Femtoscopic Correlation Functions |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2507.10505 |