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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.26517 |
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| _version_ | 1866915586973368320 |
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| author | Sun, Bao-Xi Fan, Ying-Ying Cao, Qin-Qin |
| author_facet | Sun, Bao-Xi Fan, Ying-Ying Cao, Qin-Qin |
| contents | The attractive interaction of the $ϕ$ meson and the proton is reported by the ALICE Collaboration, and the corresponding scattering length $f_0$ is given as $Re(f_0)=0.85\pm0.34(stat)\pm0.14(syst)$ fm and $Im(f_0)=0.16\pm0.10(stat)\pm0.09(syst)$ fm. The fact that the real part is significant in contrast to the imaginary part indicates a dominating role of the elastic scattering, whereas the inelastic process is less important. In this work, such scattering processes are inspected on the basis of a unitary coupled-channel approximation inspired by the Bethe-Salpeter equation. The $ϕp$ scattering length is calculated and it is found that the experimental value of the $ϕp$ scattering length can be obtained only if the attractive interaction of the $ϕ$ meson and the proton is taken into account. A significant outcome of such an attractive interaction is a two-pole structure in the scattering amplitude. One of the poles, located at $1969-i283$ MeV, might be a resonance state of $ϕN$, while the other pole, located at $1949-i3$ MeV, should be a bound state of $ϕN$. Both of these states do not have counterparts in the data of the Particle Data Group(PDG). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26517 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $ϕp$ bound state in the unitary coupled-channel approximation Sun, Bao-Xi Fan, Ying-Ying Cao, Qin-Qin High Energy Physics - Phenomenology The attractive interaction of the $ϕ$ meson and the proton is reported by the ALICE Collaboration, and the corresponding scattering length $f_0$ is given as $Re(f_0)=0.85\pm0.34(stat)\pm0.14(syst)$ fm and $Im(f_0)=0.16\pm0.10(stat)\pm0.09(syst)$ fm. The fact that the real part is significant in contrast to the imaginary part indicates a dominating role of the elastic scattering, whereas the inelastic process is less important. In this work, such scattering processes are inspected on the basis of a unitary coupled-channel approximation inspired by the Bethe-Salpeter equation. The $ϕp$ scattering length is calculated and it is found that the experimental value of the $ϕp$ scattering length can be obtained only if the attractive interaction of the $ϕ$ meson and the proton is taken into account. A significant outcome of such an attractive interaction is a two-pole structure in the scattering amplitude. One of the poles, located at $1969-i283$ MeV, might be a resonance state of $ϕN$, while the other pole, located at $1949-i3$ MeV, should be a bound state of $ϕN$. Both of these states do not have counterparts in the data of the Particle Data Group(PDG). |
| title | The $ϕp$ bound state in the unitary coupled-channel approximation |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2510.26517 |