High $|t|$ diffractive vector meson production at the EIC

TL;DR

This paper explores the potential to measure high-|t| diffractive J/ψ meson production at the future Electron Ion Collider, focusing on rapidity gap measurements to test BFKL dynamics with current and extended detector coverage.

Contribution

It demonstrates the feasibility of measuring the rapidity gap dependence of the cross section up to four units at the EIC, highlighting the benefits of extended detector coverage for probing BFKL exchange effects.

Findings

Cross section dependence on rapidity gap can be measured up to four units.

A factor of 1.6 change in cross section due to BFKL exchange is detectable.

Extending detector coverage beyond 3.5 units improves rapidity gap physics tests.

Abstract

We investigate the prospects of the diffractive production of $J/\psi$ mesons at large momentum transfer $|t|$ at the future Electron Ion Collider in electron-proton collisions. In particular, we focus on the measurements of the rapidity gap size. The model used for the calculations is based on the diffractive exchange of the Balitsky-Fadin-Kuraev-Lipatov perturbative Pomeron. Calculations for the cross section and the estimates for the rates assuming integrated luminosity of $10 \, \rm fb^{-1}$ are provided. Two experimental strategies were considered. First, measuring the rapidity gap size directly, by observing the activity in the forward part of the central detector, and second by putting a lower limit on the rapidity gap size in the case when the detector cannot measure forward activity. We find that, it is possible to measure at the EIC the dependence of the cross section on rapidity gap interval up to four units in rapidity. This should allow to measure the change of the cross section by a factor 1.6 expected due to the BFKL exchange. This is possible with the present setup of the detector which projects the coverage up to 3.5 units of rapidity. We conclude however, that the extension of the detector up to higher rapidity, for example to 4.5 would be desirable and provide even better lever arm for testing rapidity gap physics at the EIC.