English

Flavour dependence of the pion and kaon form factors and parton distribution functions

Nuclear Theory 2016-09-07 v1 High Energy Physics - Phenomenology

Abstract

The separate quark flavour contributions to the pion and kaon valence quark distribution functions are studied, along with the corresponding electromagnetic form factors in the space-like region. The calculations are made using the solution of the Bethe-Salpeter equation for the model of Nambu and Jona-Lasinio with proper-time regularization. Both the pion and kaon form factors and the valence quark distribution functions reproduce many of the features of the available empirical data. The larger mass if the strange quark naturally explains the empirical fact that the ratio uK+(x)/uπ+(x)u_{K^+}(x)/u_{\pi^+}(x) drops below unity at large xx, with a value of approximately Mu2/Ms2M^2_u/M_s^2 as x1x \to 1. With regard to the elastic form factors we report a large flavour dependence, with the uu-quark contribution to the kaon form factor being an order of magnitude smaller than that of the ss-quark at large Q2Q^2, which may be a sensitive measure of confinement effects in QCD. Surprisingly though, the total K+K^+ and π+\pi^+ form factors differ by only 10\%.

Keywords

Cite

@article{arxiv.1604.02853,
  title  = {Flavour dependence of the pion and kaon form factors and parton distribution functions},
  author = {Parada T. P. Hutauruk and Ian C. Cloet and Anthony W. Thomas},
  journal= {arXiv preprint arXiv:1604.02853},
  year   = {2016}
}

Comments

9 pages, 14 figures