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  • Letter
  • Open Access

Light front wave functions and diffractive electroproduction of vector mesons

Chao Shi1,*, Ya-Ping Xie2,†, Ming Li1, Xurong Chen2,3, and Hong-Shi Zong4

  • 1Department of Nuclear Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • 2Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
  • 3Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China
  • 4Department of Physics, Nanjing University, Nanjing 210093, China

  • *cshi@nuaa.edu.cn
  • †xieyaping@impcas.ac.cn
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Phys. Rev. D 104, L091902 – Published 3 November, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.L091902

Abstract

We determine the leading Fock-state light front wave functions (LF-LFWFs) of the ρ and J/ψ mesons, for the first time from the Dyson-Schwinger and Bethe-Salpeter equations approach. A unique advantage of this method is that it renders a direct extraction of LF-LFWFs in presence of a number of higher Fock-states. Modulated by the current quark mass and driven by the dynamical chiral symmetry breaking, we find the ρ and J/ψ LF-LFWFs different in profile, i.e., the former are broadly distributed in x (the longitudinal light-cone momentum fraction of meson carried by quark) while the latter are narrow. Moreover, the ρ LF-LFWFs contribute less than 50% to the total Fock-state normalization, suggesting considerable higher Fock-states in ρ. We then use these LF-LFWFs to study the diffractive ρ and J/ψ electroproduction within the dipole picture. The calculated cross section shows general agreement with HERA data, except for growing discrepancy in ρ production at low photon virtuality.

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Phys. Rev. D 104, L091902– Published 3 November, 2021
  • Received 2 February 2021
  • Accepted 8 October 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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