Scalar mesons nonet in a scaled effective Lagrangian

Abstract

A scaled SU(3) Nambu - Jona-Lasinio Lagrangian is used to compute the mass of the nine scalar mesons in the vacuum and the mass of the gluball. It is shown that a suitable choice of the vacuum gluon condensate allows to reproduce the experimental masses of the scalar mesons except for the {$K_0^{\ast }$}(1430). This choice corresponds to a weak coupling between the gluon and quark condensates, giving a {$f_0$}(1500) or a {$f_J$}(1710) which is nearly a pure glueball.

12 pages, Latex, use elsart.sty