The decays ρ−→ηπ−ρ^{-}\toηπ^{-} and τ−→η(η′)π−ντ^{-}\toη(η')π^{-}ν in the NJL model

preprint2012arXivOpen access

Abstract

The widths of the decays ρ−→ηπ−ρ^{-}\toηπ^{-} and τ−→η(η′)π−ντ^{-}\toη(η')π^{-}ν are calculated in the framework of the NJL model. It is shown that these decays are defined by the uu and dd quark mass difference. It leads to the suppression of these decays in comparison with the main decay modes. In the process ρ−→ηπ−ρ^{-}\toηπ^{-} the intermediate scalar a0−a_0^{-} state is taken into account. For the ττ decays the intermediate states with a0−a_0^{-}, ρ−(770)ρ^{-}(770) and ρ−(1450)ρ^{-}(1450) mesons are used. Our estimates are compared with the results obtained in other works.

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