2025/10/30 by Sun, Bao-Xi, Fan, Ying-Ying, Cao, Qin-Qin
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.2510.26517
The attractive interaction of the ϕ meson and the proton is reported by the ALICE Collaboration, and the corresponding scattering length f0 is given as Re(f0)=0.85±0.34(stat)±0.14(syst) fm and Im(f0)=0.16±0.10(stat)±0.09(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).