Exclusive vector meson productions with the analytical solution of Balitsky-Kovchegov Equation

TL;DR

This paper uses the analytical solution of the Balitsky-Kovchegov equation within the dipole model to calculate cross sections for vector meson production, showing good agreement with experimental data and assessing wave function influences.

Contribution

It provides an analytical approach to describe exclusive vector meson production using the BK equation, highlighting its reliability and insensitivity to meson wave function models.

Findings

Predictions agree with experimental data

Results are insensitive to meson wave function models

Analytical BK solution reliably describes production in certain Q^2 range

Abstract

Exclusive vector meson production is an excellent probe for describing the structure of proton. In this paper, based on dipole model, the differential cross sections, total cross sections and the ratios of the longitudinal to transverse cross sections of $J/\psi$ and $\rho^0$ productions are calculated with the analytical solution of Balitsky-Kovchegov (BK) equation. In addition, we also consider the influences of two meson wave function models on the results. Our predictions, which are little sensitive to meson wave functions, agree with the experimental data. The analytical solution of BK equation is reliable for description of exclusive vector meson production in a certain range of $Q^2$.