Chiral Lagrangian With Vector Mesons and Soliton Ansatz to the Su(4) Skyrme Model

Abstract

We propose a chiral Lagrangian in which the pions and the vector mesons are treated on equal footing. It gives the usual meson physics and a mass relation for the mesons. We introduce a soliton ansatz for the SU(4) Skyrme model which approximates the more realistic covariant theory. Upon quantization, a rich mass spectrum for the soliton is obtained.