Analysis of the interaction between $ϕ$ meson and nucleus

Abstract

In this work, we systematically study the $ϕ$ meson and nucleus interaction by analyzing and fitting the cross sections of $γN$$\rightarrow ϕ$$N$ ($N$ represent the nucleus) reactions near the threshold. With the help of vector meson dominant model, the distribution of $ϕ$-$N$ scattering length as a function of energy is presented, and the results show that there is a slight increase in scattering length with increasing energy. Based on this, the average scattering length of $ϕ$-proton is obtained as $0.10\pm0.01$ fm by combining experimental data and theoretical models. Moreover, the average scattering length of $ϕ$-deuteron interaction is derived to be $0.014\pm0.002$ fm for the first time. Further, the effect of the momentum transfer $|t_{min}|$ on the $ϕ$-$N$ scattering length at the threshold is discussed. The obtained results not only provide important theoretical information for a more comprehensive and accurate study of the $ϕ$-$N$ scattering length, but also provide a basis for future experimental measurements of $ϕ$ meson production.