Scaling properties of exclusive vector meson production cross section from gluon saturation

TL;DR

This paper investigates the scaling behavior of exclusive vector meson production cross sections in electron-ion collisions, emphasizing gluon saturation effects and providing predictions for the upcoming Electron-Ion Collider.

Contribution

It extends previous phenomenological studies by using a Monte Carlo generator to make quantitative predictions for EIC kinematics and identifies potential observable scaling regions.

Findings

Predicted scaling behavior in vector meson production cross sections.

Identified a small momentum transfer region where scaling may be observed.

Provided pseudo-data to guide future experimental measurements.

Abstract

It is already known from phenomenological studies that in exclusive deep-inelastic scattering off nuclei there appears to be a scaling behavior of vector meson production cross section in both nuclear mass number, $A$, and photon virtuality, $Q^{2}$, which is strongly modified due to gluon saturation effects. In this work we continue those studies in a realistic setup based upon using the Monte Carlo event generator Sar{\em t}re. We make quantitative predictions for the kinematics of the Electron-Ion Collider, focusing on this $A$ and $Q^{2}$ scaling picture, along with establishing a small region of squared momentum transfer, $t$, where there are signs of this scaling that may potentially be observed at the EIC. Our results are represented as pseudo-data of vector meson production diffractive cross section and/or their ratios, which are obtained by parsing data collected by the event generator through smearing functions, emulating the proposed detector resolutions for the future EIC.