Photon-odderon interference in exclusive χ c charmonium production at the Electron-Ion Collider

Benić, Sanjin; Dumitru, Adrian; Kaushik, Abhiram; Motyka, Leszek; Stebel, Tomasz

doi:10.1103/PhysRevD.110.014025

Title: Photon-odderon interference in exclusive $χ_{c}$ charmonium production at the Electron-Ion Collider

Journal Article · 18 July 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.014025 · OSTI ID:2404591

Benić, Sanjin;

; Kaushik, Abhiram;

;

Exclusive $C = + 1$ scalar, axial-vector, and tensor quarkonium production in high-energy electron-proton scattering requires a $C$ -odd $t$ -channel exchange of a photon or a three-gluon ladder. We derive the expressions for the corresponding amplitudes. The relative phase of the photon vs three-gluon exchange amplitudes is determined by the sign of the light-front matrix element of the eikonal color current operator $d^{a b c} J^{+ a} J^{+ b} J^{+ c}$ at moderate $x$ , and is not affected by small- $x$ QCD evolution. Model calculations predict constructive interference, which is particularly strong for momentum transfer $| t | \sim 1 {GeV}^{2}$ where the cross section for $χ_{c J}$ production exceeds that for pure photon exchange by up to a factor of 4. Exclusive $χ_{c J}$ electroproduction at the high luminosity Electron-Ion Collider occurs with well measurable rates and measurements of these processes should find evidence for the perturbative odderon exchange. We also compute the total electroproduction cross section as a function of energy and provide first estimates of the number of $χ_{c J}$ events per month at the Electron-Ion Collider design luminosity. Published by the American Physical Society 2024

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Research Organization:: Baruch College, New York, NY (United States)

Sponsoring Organization:: Croatian Science Foundation; Polish National Science Centre; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0002307

OSTI ID:: 2404591

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 1 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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