Effective strong-interaction Lagrangian

Publisher Website
Google Scholar
Abstract
We discuss the current-algebra treatment of the basic quark-model Lagrangian, which contains in addition the simplest (from a group-theoretical point of view) effective term that can solve the U(1) problem. Reasonable experimental agreement is found for the relevant pseudoscalar masses. It is shown how the σ-model solution for the masses is mapped into a whole family of solutions in this generalized quark-model case. A possible way of consistently getting Gell-Mann-Okubo-type mass relations while not going to the approximation of an exactly symmetric vacuum is pointed out. This leads to a simple relation among the pseudoscalar-meson decay constants.