Effective chiral Lagrangian of pseudoscalar and vector mesons.

Abstract

We extend Weinberg's formulation of the Lagrangian involving pions and rho mesons to include electromagnetism. We also extend this approach to SU(3). We obtain the results: g/sub rho/ = (m/sub rho//sup 2//g) = 2g/sub rho//sub ..pi..//sub ..pi../f/sub ..pi..//sup 2/, g/sub rho//sub ..pi..//sub ..pi../ = g = m/sub rho//..sqrt..2-barf..pi.., and decay widths for K/sup */..-->..K..pi.. and phi = KK-bar as well as leptonic widths of rho, ..omega.., and phi mesons and charge mean-square radius for K/sup +/ or K/sup -/ meson in mass-mixing and current-mixing models of SU(3) symmetry breaking. These results agree reasonably well with their experimental values and require f/sub K//f/sub ..pi../>1 (1.1--1.3). We compare this formulation with the conventional formulation of the effective chiral Lagrangian involving rho and A/sub 1/ mesons.