The decay ${\eta }^{\prime }\to \pi \rho$ in the chiral NJL model

Abstract

The branching fraction of the decay ${\eta }^{\prime }\to \pi \rho$ is calculated in the chiral quark NJL model. The decay exists due to the mass difference between $u$- and $d$-quarks leading to ${\pi }^0-{\eta }^{{}^{\prime }}$ mixing. Two different approaches are applied: the approximate calculation of this process taking into account the transition ${\pi }^0-{\eta }^{{}^{\prime }}$ explicitly without dioganalisation and a more precise approach consisting in the diagonalisation of the singlet and octet states leading to the physical fields ${\pi }^0$, $\eta$ and ${\eta }^{{}^{\prime }}$. The obtained results are in satisfactory agreement with current experimental data.

References in corpus (6)

• Predictions on the second-class current decays ${\tau }^{-}\to {\pi }^{-}{\eta }^{(\prime )}{\nu }_{\tau }$
• Isospin symmetry breaking through pi^0 - eta -eta' mixing
• The decays ${\rho }^{-}\to \eta {\pi }^{-}$ and ${\tau }^{-}\to \eta ({\eta }^{\prime }){\pi }^{-}\nu$ in the NJL model
• On meson dominance in the `second class' tau \to eta pi nu_tau decay
• On the branching ratio of the "second class" tau --> eta' pi nu_tau decay
• $1/N_c$ approximation and universality of vector mesons