Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach

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, tensor 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.

18 pages, 12 figures, 3 tables; minor modifications in text; accepted by PRD

References in corpus (30)

• Electron-Ion Collider in China
• Relations between generalized and transverse momentum dependent parton distributions
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Transverse spin structure of the nucleon from lattice QCD simulations
• Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Pion Generalized Parton Distributions with covariant and Light-front constituent quark models
• Basis Light-Front Quantization Approach to Positronium
• The pion form factor from lattice QCD with two dynamical flavours
• Generalized parton distributions and transverse densities in a light-front quark-diquark model for the nucleons
• Nucleon structure from basis light-front quantization
• Nucleon spin densities in a light-front constituent quark model
• Implication of the overlap representation for modelling generalized parton distributions
• Accessing proton generalized parton distributions and pion distribution amplitudes with the exclusive pion-induced Drell-Yan process at J-PARC
• Drell-Yan processes, transversity and light-cone wavefunctions
• Hadronic Momentum Densities in the Transverse Plane
• Tomographic image of the proton
• Gravitational form factors and transverse spin sum rule in a light front quark-diquark model in AdS/QCD
• Measures of pion and kaon structure from generalised parton distributions
• Pion and Kaon parton distributions in the QCD instanton vacuum
• Higher Fock State Contributions to the Generalized Parton Distribution of Pion
• Helicity-dependent generalized parton distributions for nonzero skewness
• Gravitational form factors and angular momentum densities in light-front quark-diquark model
• Generalized parton distributions in a light-front nonperturbative approach
• Exploring the Partonic Structure of Hadrons through the Drell-Yan Process
• Spin structure of the pion from the instanton vacuum
• Pion to photon transition form factors with basis light-front quantization
• Charge and longitudinal momentum distributions in transverse coordinate space
• Transversity form factors of the pion in chiral quark models

Cited by in corpus (17)

• Angular momentum and generalized parton distributions for the proton with basis light-front quantization
• Transverse structure of the pion beyond leading twist with basis light-front quantization
• Spatial imaging of proton via leading-twist non-skewed GPDs with basis light-front quantization
• Basis light-front quantization approach to $\Lambda$ and ${\Lambda }_c$ and their isospin triplet baryons
• Dynamical mass generation in Minkowski space at QCD scale
• Stress inside the pion in holographic light-front QCD
• Efficient Quantum Simulation of QCD Jets on the Light Front
• Gravitational form factor $D$ of charmonium from shear stress
• Stress out of charmonia
• Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model
• Effect of nuclear medium on the spatial distribution of pions
• Pion inspired by QCD: Nakanishi and Light-Front Integral Representations
• Double parton distributions of the proton from basis light-front quantization
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Onset of color transparency in holographic light-front QCD
• Determination of the pion generalized parton distributions at zero skewness
• Pion generalized parton distributions at zero skewness