Abstract
We investigate the tomographical structure of pion and kaon in light cone quark model (LCQM). In particular, we study the parton distribution amplitude (PDA) of pion and kaon. We obtain the parton distribution function (PDF) and the generalized parton distributions (GPDs) of the pion and kaon. The valence quark PDA and PDF of pion, after QCD evolution, are found to be consistent with the data from the E791 and the E615 experiments at Fermilab, respectively. Further, we investigate the transverse momentum distributions (TMDs) of pion and kaon. We also discuss the unpolarized TMD evolution for pion and kaon in this model.
Highlights
The nonperturbative structure of the hadron is well described by the distribution of partons inside the hadron in both position and momentum space
The parton distribution functions (PDFs) [10,11], which are accessible in hard inclusive processes such as deep inelastic scattering (DIS) or Drell-Yan processes, encode the distribution of longitudinal momentum and polariza
We present various quark distributions in the pion and the kaon in the light-cone quark model for the valence quarks suitable for low-resolution properties
Summary
The nonperturbative structure of the hadron is well described by the distribution of partons inside the hadron in both position and momentum space. The large-x behavior of the pion valence PDF is expected to fall off linearly or slightly faster from the analyses of the Drell-Yan data [32,34] This is supported by the constituent quark models [84,85], the NJL model [85], and duality arguments [101]. The studies on pion and kaon GPDs are explained in the Poincarecovariant Bethe-Salpeter constituent quark model by considering the support parameter of pseudoscalar mesons [111]. A comparative study of the pion TMDs beyond leading twist in a light-front constituent quark model, the bag model, and a spectator model has been reported in Ref.
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