The decays $\rho^{-}\to\eta\pi^{-}$ and $\tau^{-}\to\eta(\eta')\pi^{-}\nu$ in the NJL model

• Main Authors: Volkov, M. K, Kostunin, D. G
• Format: Journal Article
• Language: English
• Published: 15-05-2012
• Subjects: Physics - High Energy Physics - Phenomenology
• DOI: 10.48550/arxiv.1205.3329

The widths of the decays $\rho^{-}\to\eta\pi^{-}$ and
$\tau^{-}\to\eta(\eta')\pi^{-}\nu$ are calculated in the framework of the NJL
model. It is shown that these decays are defined by the $u$ and $d$ quark mass
difference. It leads to the suppression of these decays in comparison with the
main decay modes. In the process $\rho^{-}\to\eta\pi^{-}$ the intermediate
scalar $a_0^{-}$ state is taken into account. For the $\tau$ decays the
intermediate states with $a_0^{-}$, $\rho^{-}(770)$ and $\rho^{-}(1450)$ mesons
are used. Our estimates are compared with the results obtained in other works.