Analysis of the interaction between $\phi$ meson and nucleus

TL;DR

This paper investigates the interaction between the $$ meson and nuclei by analyzing reaction cross sections, deriving scattering lengths, and exploring energy dependence to inform future experiments.

Contribution

It introduces the first calculation of the $$-deuteron scattering length and examines the energy dependence of the $$-nucleon scattering length using experimental data and theoretical models.

Findings

Average $$-proton scattering length: $0.10\u00b10.01$ fm

Average $$-deuteron scattering length: $0.014\u00b10.002$ fm

Scattering length slightly increases with energy

Abstract

In this work, we systematically study the $\phi$ meson and nucleus interaction by analyzing and fitting the cross sections of $\gamma N$$\rightarrow \phi$$N$ ($N$ represent the nucleus) reactions near the threshold. With the help of vector meson dominant model, the distribution of $\phi$-$N$ 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 $\phi$-proton is obtained as $0.10\pm0.01$ fm by combining experimental data and theoretical models. Moreover, the average scattering length of $\phi$-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 $\phi$-$N$ 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 $\phi$-$N$ scattering length, but also provide a basis for future experimental measurements of $\phi$ meson production.