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

Abstract

The widths of the decays ${\rho }^{-}\to \eta {\pi }^{-}$ and ${\tau }^{-}\to \eta ({\eta }^{\prime }){\pi }^{-}\nu$ 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.

6 pages, 5 figures, 1 table

References in corpus (3)

• Estimate of the branching fraction ${\tau }^{-}\to \eta {\pi }^{-}{\nu }_{\tau }$, the $a_0^{-}(980)$, and non-standard weak interactions
• Estimate of the Branching Fraction of tau --> pi eta' nu_tau
• On the branching ratio of the "second class" tau --> eta' pi nu_tau decay

Cited by in corpus (19)

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• The process $e^{+}{e}^{-}\to \eta ({\eta }^{\prime })2\pi$ in the extended NJL model
• ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }\gamma$ decays as backgrounds in the search for second class currents
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• Processes of $e^{+}{e}^{-}\to (\eta ,{\eta }^{\prime },\eta (1295),\eta (1475))\gamma$ in the extended Nambu -- Jona-Lasinio model
• The decays $\tau \to (K,K(1460)){\nu }_{\tau }$ and the value of the weak decay coefficients $F_K$ and $F_{K^{{}^{\prime }}}$ in the extended NJL model
• The ${\pi }^0-\eta -{\eta }^{\prime }$ mixing in a generalized multi-quark interaction scheme
• The decay $\tau \to K^0{K}^{-}{\nu }_{\tau }$ in the extended Nambu-Jona-Lasinio model
• The decay $\tau \to K^{-}{\pi }^0{\nu }_{\tau }$ in the Nambu-Jona-Lasinio model
• G-parity breaking in ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }$ decays induced by the ${\eta }^{(\prime )}\gamma \gamma$ form factor
• Radially Excited Axial-Vector Mesons in the extended Nambu--Jona-Lasinio model
• Decays of $\tau \to \rho (770)({\rho }^{\prime }(1450)){\nu }_{\tau }$ and $\tau \to K^{\ast }(892)(K^{{\ast }^{\prime }}(1410)){\nu }_{\tau }$ in the extended Nambu - Jona- Lasinio model
• The decays $\tau \to {\nu }_{\tau }(K^{\ast }(892),K^{\ast }(1410),K_1(1270),K_1(1650),a_1(1260),a_1(1640))$ in the Extended Nambu-Jona-Lasinio Model
• The second-class current decays $\tau \to \pi \eta ({\eta }^{\prime }){\nu }_{\tau }$ in the NJL model including the interaction of mesons in the final state
• ${\tau }^{-}\to {\pi }^{-}\eta {\nu }_{\tau }$ decay induced by QED one-loop effects
• Towards the (Mexican) discovery of second class currents at Belle-II
• The decay ${\eta }^{\prime }\to \pi \rho$ in the chiral NJL model