New resonances in the linear chiral SU(4) × SU(4) model

Abstract

In the context of the linear chiral SU(4) × SU(4) model, we study a Lagrangian of 16 pseudoscalar and 16 scalar fields interacting by means of the most general nonderivative chiral-SU(4) × SU(4)-invariant interaction and any particular symmetry-breaking term. The three-point and four-point coupling constants in the model can simply be related to masses in the system. As an application, partial decay rates of ${\eta }^{\prime \prime }$ ($0^{-}$ meson analog of $\psi$ such as ${\eta }^{\prime \prime }\to K+\overline{K}+\pi$, ${\eta }^{\prime \prime }\to \eta +\pi +\pi$, etc., are computed with a choice of the symmetry-breaking term of (4,$4^{*}$ + ($4^{*}$,4) type. Numerical analyses of the pseudoscalar-meson mass spectrum and the partial decay rates of ${\eta }^{\prime \prime }$ are carried out.