Scattering data and correlation function for the $K f_1(1285)$ interaction
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914337743962112 |
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| author | Jia, Wen-Hao Song, Jing Liang, Wei-Hong Oset, Eulogio |
| author_facet | Jia, Wen-Hao Song, Jing Liang, Wei-Hong Oset, Eulogio |
| contents | We study the interaction of a kaon with the $f_1(1285)$ resonance, assuming that the $f_1(1285)$ is a molecular state generated by the $K \bar K^*, \bar K K^*$ interaction, evaluating the scattering amplitude, the scattering length and effective range of the $K f_1$ system. The scattering amplitude develops a resonant structure approximately $10$ MeV below the $K f_1$ threshold, with a width of around $15$ MeV. The corresponding correlation function has the distinctive shape of a system with a bound state close to threshold. We also show that the interaction of the $K f_1$ system is differs significantly from the one obtained assuming that the $f_1(1285)$ is an elementary particle. This provides motivation to continue the search for these observables, already initiated by the measurement of the $p f_1(1285)$ correlation function by the ALICE collaboration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16683 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Scattering data and correlation function for the $K f_1(1285)$ interaction Jia, Wen-Hao Song, Jing Liang, Wei-Hong Oset, Eulogio High Energy Physics - Phenomenology We study the interaction of a kaon with the $f_1(1285)$ resonance, assuming that the $f_1(1285)$ is a molecular state generated by the $K \bar K^*, \bar K K^*$ interaction, evaluating the scattering amplitude, the scattering length and effective range of the $K f_1$ system. The scattering amplitude develops a resonant structure approximately $10$ MeV below the $K f_1$ threshold, with a width of around $15$ MeV. The corresponding correlation function has the distinctive shape of a system with a bound state close to threshold. We also show that the interaction of the $K f_1$ system is differs significantly from the one obtained assuming that the $f_1(1285)$ is an elementary particle. This provides motivation to continue the search for these observables, already initiated by the measurement of the $p f_1(1285)$ correlation function by the ALICE collaboration. |
| title | Scattering data and correlation function for the $K f_1(1285)$ interaction |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2602.16683 |