Abstract
We present the generalized parton distributions (GPDs) for the valence quarks of the pion and the kaon in both momentum space and position space within the basis light-front quantization framework. These GPDs are obtained from the eigenvectors of a light-front effective Hamiltonian consisting of the holographic quantum chromodynamics (QCD) confinement potential, a complementary longitudinal confinement potential, and the color-singlet Nambu-Jona--Lasinio interactions for the valence quarks of mesons. We then calculate the generalized form factors of the pion and the kaon from the moments of these GPDs. Combining the tensor form factors with the electromagnetic form factors, we subsequently evaluate the impact parameter dependent probability density of transversely polarized quarks inside the pion and the kaon. The numerical results for the generalized form factors, corresponding charges, as well as those for the probability densities and the transverse shift of the polarized densities are consistent with lattice QCD simulations and with chiral quark models.
Highlights
We evaluate the generalized parton distributions (GPDs) of the light pseudoscalar mesons using the light-front wave functions (LFWFs) based on the theoretical framework of basis light front quantization (BLFQ) [86], with only the valence Fock sector of mesons considered
We show the valence quark GPDs in the pion and the kaon for a fixed value of −t at different μ2 evolved from the corresponding initial scales in Figs. 3 and 4, respectively
We have investigated the valence quark GPDs of the light pseudoscalar mesons in the framework of BLFQ using a light-front model for light mesons that incorporates lightfront holography, longitudinal confinement, and the colorsinglet Nambu-Jona–Lasinio interactions
Summary
The description of the nonperturbative structure of hadrons using generalized parton distributions (GPDs) is related to phenomenology, attracting numerous dedicated experimental and theoretical efforts [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25]. From the perspective of theory, the QCDSF/UKQCD Collaboration has reported the first result for the pion’s chiral-odd GPD using lattice QCD [33] They have presented the probability density of the polarized quarks inside the pion and found that their spatial distribution is strongly distorted when the quarks are transversely polarized. The nonperturbative solutions for the LFWFs are given by the recent BLFQ study of light mesons [92] These LFWFs have been applied successfully to predict the decay constants, electromagnetic form factors (EMFFs), charge radii, PDFs, and many other quantities of the pion and the kaon [92,93,94,95].
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