Pseudo-scalar mesons: light front wave functions, GPDs and PDFs

Abstract

We develop a unified algebraic model which satisfactorily describes the internal structure of pion and kaon as well as heavy quarkonia (${\eta }_c$ and ${\eta }_b$). For each of these mesons, we compute their generalized parton distributions (GPDs), built through the overlap representation of their light-front wave function, tightly constrained by the modern and precise knowledge of their quark distribution amplitudes. From this three-dimensional knowledge of mesons, we deduce parton distribution functions (PDFs) as well as electromagnetic form factors and construct the impact parameter space GPDs. The PDFs for mesons formed with light quarks are then evolved from the hadronic scale of around 0.3 GeV to 5.2 GeV, probed in experiments. We make explicit comparisons with experimental results available and with earlier theoretical predictions.

arXiv comment15 pages, 10 figures. Accepted in Physical Review D

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• Light-front Wave Functions of Vector Mesons in an Algebraic Model
• Transverse and spatial structure of light to heavy pseudoscalar mesons in light-cone quark model
• Effect of nuclear medium on the spatial distribution of pions
• Parton distribution functions of ground state mesons composed of $c$ or $b$ quarks
• Pseudoscalar Meson Parton Distributions Within Gauge-Invariant Nonlocal Chiral Quark Model