The Constituent Chiral Quark Model Revisited

preprint2011arXivOpen access

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 $M_Q =(190\pm 40)\MeV$, 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.

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