English

Meson cloud effects on kaon quark distribution functions and the SU(3) flavor symmetry

High Energy Physics - Phenomenology 2018-10-10 v1 Nuclear Theory

Abstract

We present our analysis on the valence quark distribution functions of the K+K^{+} meson, vK(u)(x,Q2)v^{K (u)} (x, Q^2) and vK(sˉ)(x,Q2)v^{K (\bar{s})} (x, Q^2), taking into account the meson cloud effects in the framework of the chiral constituent quark model. Assuming appropriate bare quark distribution functions at the initial scale, evaluating the Goldstone boson dressing corrections with the model, and performing the QCD evolution, one can obtain the realistic dressed distributions at a certain scale. The phenomenologically satisfactory valence quark distribution of the pion was obtained in the previous study and there are available experimental data of the valence uu quark distribution ratio vK(u)(x,Q2)/vπ(u)(x,Q2)v^{K(u)} (x, Q^2) / v^{\pi (u)} (x, Q^2), which enable us to obtain the kaon quark distribution functions. Besides presenting the resulting dressed distributions, we also show how the meson cloud effects affect the bare distributions in detail. A striking result is that the observed size of the SU(3) flavor symmetry breaking is considerably smaller than those seen in the preceding works based on other approaches.

Keywords

Cite

@article{arxiv.1810.04032,
  title  = {Meson cloud effects on kaon quark distribution functions and the SU(3) flavor symmetry},
  author = {Akira Watanabe and Takahiro Sawada and Chung Wen Kao},
  journal= {arXiv preprint arXiv:1810.04032},
  year   = {2018}
}

Comments

5 pages, 6 figures, prepared for the proceedings of the 21st International Conference in Quantum Chromodynamics (QCD 18), 2 - 6 July 2018, Montpellier, France