The light front wave functions and diffractive electroproduction of vector mesons

Abstract

We determine the leading Fock-state light front wave functions (LF-LFWFs) of the $\rho$ and J/$\psi$ mesons, for the first time from the Dyson-Schwinger and Bethe-Salpeter equations (DS-BSEs) 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 (DCSB), we find the $\rho$ and $J/\psi$ 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 $\rho$ LF-LFWFs contribute less than 50% to the total Fock-state normalization, suggesting considerable higher Fock-states in $\rho$. We then use these LF-LFWFs to study the diffractive $\rho$ and $J/\psi$ electroproduction within the dipole picture. The calculated cross section shows general agreement with HEAR data, except for growing discrepancy in $\rho$ production at low photon virtuality. Our work provides a first dipole picture analysis on diffractive $\rho$ electroproduction that confronts the parton nature of the light (anti)quarks.

arXiv comment10 pages, 4 figures

References in corpus (63)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Dyson-Schwinger Equations and the Application to Hadronic Physics
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• An Impact Parameter Dipole Saturation Model
• Exclusive diffractive processes at HERA within the dipole picture
• pi- and K-meson Bethe-Salpeter Amplitudes
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Diffractive Leptoproduction of Vector Mesons in QCD
• Pion mass and decay constant
• Saturation and BFKL dynamics in the HERA data at small x
• Electron-Ion Collider in China
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Elastic J/Psi Production at HERA
• Analysis of combined HERA data in the Impact-Parameter dependent Saturation model
• Sketching the Bethe-Salpeter kernel
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Exclusive electroproduction of J/psi mesons at HERA
• Impact-parameter dependent Color Glass Condensate dipole model and new combined HERA data
• Nucleon mass from a covariant three-quark Faddeev equation
• The Quark-Photon Vertex and the Pion Charge Radius
• Colour dipoles and rho, phi electroproduction
• Vector meson leptoproduction and nonperturbative gluon fluctuations in QCD
• Vector meson form factors and their quark-mass dependence
• An AdS/QCD holographic wavefunction for the rho meson and diffractive rho meson electroproduction
• Commentary on rainbow-ladder truncation for excited states and exotics
• Diffractive Electroproduction of rho and phi Mesons at HERA
• Probing the gluon self-interaction in light mesons
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Exclusive vector meson production at high energies and gluon saturation
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
• Exclusive rho^0 production in deep inelastic scattering at HERA
• Quarkonium as relativistic bound state on the light front
• Incoherent diffractive J/Psi-production in high energy nuclear DIS
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Extracting the dipole cross-section from photo- and electro-production total cross-section data
• Dipole factorization for DIS at NLO I: Loop correction to the photon to quark-antiquark light-front wave-functions
• Q^2 dependence of diffractive vector meson electroproduction
• One-loop corrections to light cone wave functions: the dipole picture DIS cross section
• Strong Decays of Light Vector Mesons
• Relativistic corrections to the vector meson light front wave function
• Gluon Tomography from Deeply Virtual Compton Scattering at Small-x
• Counting Rule for Hadronic Light-Cone Wave Functions
• Multiplicative renormalizability and quark propagator
• Elastic electromagnetic form factors of vector mesons
• From Bethe-Salpeter Wave Functions to Generalised Parton Distributions
• The study of leading twist light cone wave functions of J/Psi meson
• Flavour symmetry breaking in the kaon parton distribution amplitude
• Diffractive $\rho$ and $\varphi$ production at HERA using an AdS/QCD holographic light-front meson wavefunction
• The $\rho$-meson light-cone distribution amplitudes from lattice QCD
• Scale Dependence of Hadronic Wave Functions and Parton Densities
• Extracting the rho meson wavefunction from HERA data
• Spatial and Momentum Imaging of the Pion and Kaon
• Intrinsic Transverse Motion of the Pion's Valence Quarks
• Exclusive vector meson production and small-x evolution
• Observing the Minkowskian dynamics of the pion on the null-plane
• $B_c$ Meson Spectrum Via Dyson-Schwinger Equation and Bethe-Salpeter Equation Approach
• The coherent cross section of vector mesons in ultraperipheral PbPb collisions at the LHC
• The $\rho$-meson longitudinal leading-twist distribution amplitude within QCD background field theory
• The longitudinal leading-twist distribution amplitude of $J/\psi$ meson within background field theory
• Rho meson distribution amplitudes from QCD sum rules with nonlocal condensates
• Incoherent vector mesons production in PbPb ultraperipheral collisions at the LHC
• A phenomenological analysis of the nonperturbative QCD contributions for the photon wave function
• Exclusive photoproduction of vector mesons in proton-lead ultraperipheral collisions at the LHC

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