English

Chiral Expansion at Energy Scale of $\rho$-Mass

High Energy Physics - Phenomenology 2007-05-23 v2

Abstract

We study chiral expansion at mρm_\rho-scale in framework of chiral constituent quark model. The lowest vector meson resonsances are treated as composited fields of constituent quarks. We illustrate that, at energy scale of ρ\rho-meson mass, the chiral expansion expansion converges slowly. Therefore, it is possible to construct a well-defined chiral effective field theory at this energy scale, but high order correction of chiral expansion must be included simultanously. The one-loop correction of pseudoscalar mesons is also studied systematically. The unitarity of the model is examined and Breit-Wigner formula for ρ\rho-meson is obtained. The prediction on on-shell ρππ\rho\to\pi\pi and ρe+e\rho\to e^+e^- decays agree with data very well.

Keywords

Cite

@article{arxiv.hep-ph/0001150,
  title  = {Chiral Expansion at Energy Scale of $\rho$-Mass},
  author = {Xiao-Jun Wang and Mu-Lin Yan},
  journal= {arXiv preprint arXiv:hep-ph/0001150},
  year   = {2007}
}

Comments

revtex file, 23 pages, 11 eps figures