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

Abstract

In this work, we systematically study the $\varphi$ meson and nucleus interaction by analyzing and fitting the cross sections of $\gamma N$$\to \varphi$$N$ ($N$ represent the nucleus) reactions near the threshold. With the help of vector meson dominant model, the distribution of $\varphi$-$N$ 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 $\varphi$-proton is obtained as $0.10\pm 0.01$ fm by combining experimental data and theoretical models. Moreover, the average scattering length of $\varphi$-deuteron interaction is derived to be $0.014\pm 0.002$ fm for the first time. Further, the effect of the momentum transfer $|t_{min}|$ on the $\varphi$-$N$ 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 $\varphi$-$N$ scattering length, but also provide a basis for future experimental measurements of $\varphi$ meson production.

9 pages, 12 figures. To be published in Chinese Physics C

References in corpus (14)

• Electron-Ion Collider in China
• Diffractive $\varphi$-meson photoproduction on proton near threshold
• Experimental evidence for an attractive p-$\varphi$ interaction
• Data analysis techniques, differential cross sections, and spin density matrix elements for the reaction $\gamma p\to \varphi p$
• Photoproduction of the $\omega$ meson off the proton near threshold
• Accessing the real part of the forward $J/\psi$-p scattering amplitude from $J/\psi$ photo-production on protons around threshold
• Forward coherent $\varphi$-meson photoproduction from deuterons near threshold
• $J/\psi$-$p$ Scattering Length from the Total and Differential Photoproduction Cross Sections
• Comments on differential cross section of phi-meson photoproduction at threshold
• The ${\psi }^{(\ast )}p$ scattering length based on near-threshold charmoniums photoproduction
• Extraction of Proton Trace Anomaly Energy from Near-Threshold $\varphi$ and $J/\psi$ photo-productions
• Proton and deuteron mass radii from near-threshold $\varphi$-meson photoproduction
• Mass radius and mechanical properties of the proton via strange $\varphi$ meson photoproduction
• Threshold Upsilon-meson Photoproduction at EIC and EicC

Cited by in corpus (3)

• Systematic investigation of trace anomaly contribution in nucleon mass
• Analysis of $J/\psi$ and $\psi (2S)$ Charmonium Production in Ultraperipheral Lead-Lead and Proton-Lead Collisions at LHC Energies
• First Extraction of the $\varphi$-${}^4\mathrm{He}$ scattering length from near-threshold $\varphi$ photoproduction on helium-4