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

In the context of the linear chiral SU(4) \ifmmode\times\else\texttimes\fi{} 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) \ifmmode\times\else\texttimes\fi{} 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 ${\ensuremath{\eta}}^{\ensuremath{'}\ensuremath{'}}$ (${0}^{\ensuremath{-}}$ meson analog of $\ensuremath{\psi}$ such as ${\ensuremath{\eta}}^{\ensuremath{'}\ensuremath{'}}\ensuremath{\rightarrow}K+\overline{K}+\ensuremath{\pi}$, ${\ensuremath{\eta}}^{\ensuremath{'}\ensuremath{'}}\ensuremath{\rightarrow}\ensuremath{\eta}+\ensuremath{\pi}+\ensuremath{\pi}$, 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 ${\ensuremath{\eta}}^{\ensuremath{'}\ensuremath{'}}$ are carried out.