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arXiv · 1812.06476

$τ\to ν_τρ^0π^-$ decay in the Nambu - Jona-Lasinio model

A. A. Osipov
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Abstract

Within the context of an extended Nambu - Jona-Lasinio model, we analyze the role of the axial-vector $a_1(1260)$ and $a_1(1640)$ mesons in the decay $τ\toν_τρ^0π^-$. The contributions of pseudoscalar $π$ and $π(1300)$ states are also considered. The form factors for the decay amplitude are determined in terms of the masses and widths of these states. To describe the radial excited states $π(1300)$ and $a_1(1640)$ we introduce two additional parameters which can be estimated theoretically, or fixed from experiment. The decay rate and $ρπ$ mass spectrum are calculated.

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A. A. Osipov. 2019-02-26. $τ\to ν_τρ^0π^-$ decay in the Nambu - Jona-Lasinio model. https://doi.org/10.1103/physrevd.99.034023

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