The second-class current decays $\tau \to \pi \eta(\eta') \nu_{\tau}$ in the NJL model including the interaction of mesons in the final state

Abstract

The effect of the interaction of mesons in the final state is additionally considered within the description of $\tau \to \pi \eta(\eta') \nu_{\tau}$ decays. This interaction is taken into account at the level of production of intermediate pions. One of them, in turn, might be transited into $\eta$ or $\eta'$ mesons. Our results do not exceed the experimentally established branching fractions, and they are in agreement with the results of other theoretical studies.