Higher Fock State Contributions to the Generalized Parton Distribution of Pion

Abstract

We discuss the higher Fock state (q \bar q g) contributions to the nonzero value of the pion GPD at the crossover point x = zeta between the DGLAP and ERBL regions. Using the phenomenological light-front constituent quark model, we confirm that the higher Fock state contributions indeed give a nonzero value of the GPD at the crossover point. Iterating the light-front quark model wave function of the lowest q \bar q Fock state with the Bethe-Salpeter kernel corresponding to the one-gluon-exchange, we include all possible time-ordered q \bar q g Fock state contributions and obtain the pion GPD satisfying necessary sum rules and continuity conditions.

References added

Cited by in corpus (11)

• Pion Generalized Parton Distributions with covariant and Light-front constituent quark models
• Implication of the overlap representation for modelling generalized parton distributions
• Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply Virtual Compton Scattering
• Generalized Parton Distributions from Hadronic Observables: Zero Skewness
• $\rho$ meson unpolarized generalized parton distributions with a light-front constituent quark model
• Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach
• Generalized Parton Distributions from Hadronic Observables: Non-Zero Skewness
• Gravitational form factors of $\rho$ meson with a light-cone constituent quark model
• Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model
• Light-front Ward-Takahashi Identity for Two-Fermion Systems
• An algebraic model for the pion's valence-quark GPD