Spatial and Momentum Imaging of the Pion and Kaon

Abstract

We determine the leading Fock state light front wave functions (LFWFs) of the pion and kaon via light front projections of the covariant Bethe-Salpeter wave function. Using these LFWFs we study the multi-dimensional images of the valence quarks in the pion and kaon that are provided by their generalized parton distribution functions (GPDs) and transverse momentum dependent parton distribution functions (TMDs). Moments of the GPDs are taken to obtain the electromagnetic and gravitational form factors of the pion and kaon, and comparisons to available experimental and lattice data are made. Highlights from this study include predictions that the mean-squared impact parameter for the quarks in the pion and kaon are: $⟨{\vec{b}}_T^2{⟩}_u^{\pi }=0.11$fm${}^2$, $⟨{\vec{b}}_T^2{⟩}_s^K=0.08$fm${}^2$, and $⟨{\vec{b}}_T^2{⟩}_u^K=0.13$fm${}^2$, and therefore the $s$ quark in the kaon is much closer to the center of transverse momentum than the $u$ quark. From the electromagnetic and gravitational form factors we find that the light-cone energy radii are about 60\% smaller than the light-cone charge radii for each quark sector in the pion and kaon. A quantitative measure of the importance of the leading Fock state is obtained via comparison with a full DSE calculation (containing an infinite tower of Fock states) for the pion form factor.

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Cited by in corpus (17)

• Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach
• Transverse momentum structure of proton within the basis light-front quantization framework
• An introductory lecture on Generalised Parton Distributions
• Going to the light front with contour deformations
• Transverse structure of electron in momentum space in basis light-front quantization
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• Unpolarized generalized parton distributions of light and heavy vector mesons
• Light-front Wave Functions of Vector Mesons in an Algebraic Model
• Parton distribution functions and transverse momentum dependence of heavy mesons
• Regularization dependence of pion generalised parton distributions
• The light front wave functions and diffractive electroproduction of vector mesons
• Relativistic dynamics of charmonia in strong magnetic fields
• Intrinsic Glue and Wilson lines within Dressed Quarks
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• The kaon off-shell generalized parton distributions and transverse momentum dependent parton distributions
• Ground state pseudoscalar mesons on the light front: from the light to heavy sector
• Pion GPDs: A path toward phenomenology