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Diffractive production of heavy quarkonia at the Electron Ion Collider

Mohammad Yousuf Jamal1, Ajaharul Islam1, Aritra Bandyopadhyay2,3, and Santosh K. Das4

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Phys. Rev. D 114, L031504 – Published 13 August, 2026

DOI: https://doi.org/10.1103/bplx-hsh5

Abstract

We study diffractive photo- and electroproduction of the S-wave heavy quarkonia J/ψ, ψ(2S), and ϒ(nS) at energies relevant for the Electron Ion Collider (EIC). The production amplitude is evaluated while retaining the full transverse-momentum (ℓt) dependence of the hard two-gluon kernel, that is, without expanding the impact-parameter Bessel kernel as is done in the small-size color-dipole limit. The quarkonia light-cone wave functions are built from Cornell-potential solutions of the Schrödinger equation, normalized to the measured leptonic widths, and combined with a modern collinear gluon distribution. After benchmarking the framework against the full set of HERA charmonium cross-section ratio data, we provide a consistent set of bottomonium cross-section ratio predictions in EIC kinematics. We find that the full ℓt-resolved treatment systematically improves the description of the radially excited states relative to the leading dipole limit, and we identify the kinematic windows where this difference is largest.

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Phys. Rev. D 114, L031504– Published 13 August, 2026
  • Received 22 June 2026
  • Accepted 23 July 2026
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