English

The Constituent Chiral Quark Model Revisited

High Energy Physics - Phenomenology 2015-05-28 v1

Abstract

We reconsider the Constituent Chiral Quark Model of Manohar and Georgi in the presence of SU(3)L×SU(3)RSU(3)_{L}\times SU(3)_{R} external sources. As recently emphasized by Weinberg, the corresponding effective Lagrangian is renormalizable in the Large--Nc{\rm N_c} limit. We show, however, that the number of the required counterterms depends crucially on the value of gAg_A and it is minimized for gA=1g_A =1. We then find that with a rather small value for the constituent quark mass, which we fix phenomenologically to MQ=(190±40)\MeVM_Q =(190\pm 40)\MeV, the model reproduces rather well the values of several well known low energy constants. We also comment on the limitations of the model as well as on a few {\it exceptional} applications, to more complicated low--energy observables, where one can expect the model to make reasonably good predictions.

Keywords

Cite

@article{arxiv.1107.0226,
  title  = {The Constituent Chiral Quark Model Revisited},
  author = {Eduardo de Rafael},
  journal= {arXiv preprint arXiv:1107.0226},
  year   = {2015}
}

Comments

11 pages, 2 figures

R2 v1 2026-06-21T18:30:36.979Z