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Pseudoscalar Meson Parton Distributions Within Gauge-Invariant Nonlocal Chiral Quark Model
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Pseudoscalar Meson Parton Distributions Within Gauge-Invariant Nonlocal Chiral Quark Model
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In this paper, I investigate the gluon distributions for the kaon and pion, as well as the improvement of the valence-quark distributions, in the framework of the gauge-invariant nonlocal chiral quark model (NL$\chi$QM), where the momentum dependence is taken into account. I then compute the gluon distributions for the kaon and pion that are dynamically generated from the splitting functions in the DGLAP QCD evolution. In a comparison with the recent lattice QCD and JAM global analysis results, it is found that the results for the pion gluon distributions at $Q =$ 2 GeV, which is set based on the lattice QCD, have a good agreement with the recent lattice QCD data; this is followed up with the up valence-quark distribution of the pion results at $Q =$ 5.2 GeV in comparison with the reanalysis experimental data. The prediction for the kaon gluon distributions at $Q = 2$ GeV is consistent with the recent lattice QCD calculation.
Forward citations
Cited by 2 Pith papers
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Electromagnetic structure of charged and neutral strange vector mesons
Covariant NJL calculations give K*+ charge radius 0.45 fm² and magnetic moment 2.67 μ_N, and K*0 radius −0.04 fm² and moment 0.032 μ_N.
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Effects of flavor-mixings on charged kaon and pion parton distribution functions
Vacuum-polarization flavor mixing in the U(3) NJL model produces small, mass-difference-driven shifts in charged pion and kaon valence PDFs that mildly improve agreement with data at 4 and 27 GeV².
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