Parton Distribution in Pseudoscalar Mesons with a Light-Front Constituent Quark Model
Abstract
We compute the distribution amplitudes of the pion and kaon in the light-front constituent quark model with the symmetric quark-bound state vertex function. In the calculation we explicitly include the flavor-SU(3) symmetry breaking effect in terms of the constituent quark masses of the up (down) and strange quarks. To calculate the kaon parton distribution functions~(PDFs), we use both the conditions in the light-cone wave function, i.e., when quark is on-shell, and when quark is on-shell, and make a comparison between them. The kaon PDFs calculated in the two different conditions clearly show asymmetric behaviour due to the flavor SU(3)-symmetry breaking implemented by the quark masses.
Keywords
Cite
@article{arxiv.1512.07260,
title = {Parton Distribution in Pseudoscalar Mesons with a Light-Front Constituent Quark Model},
author = {J. P. B. C. de Melo and Isthiaq Ahmed and Kazuo Tsushima},
journal= {arXiv preprint arXiv:1512.07260},
year = {2016}
}
Comments
Latex file, 4 figures, use AIP style. Small mistakes are corrected, (Eq.(5) and Eq.(6))