, with M1, M2 pseudoscalar or vector mesons

L. R. Dai; R. Pavao; S. Sakai; E. Oset

doi:10.1140/epja/i2019-12690-9

EPJ

a
b
c
d
e
ap
st
h
plus
ds
pv
ti
qt
am
n

2023 Impact factor 2.6

Hadrons and Nuclei

Eur. Phys. J. A (2019) 55: 20
https://doi.org/10.1140/epja/i2019-12690-9

Regular Article - Theoretical Physics

$\tau^{-}\rightarrow \nu_{\tau} M_{1}M_{2}$ , with M₁, M₂ pseudoscalar or vector mesons

L. R. Dai¹^,2^*, R. Pavao², S. Sakai²^,3 and E. Oset²

¹ Department of Physics, Liaoning Normal University, 116029, Dalian, China
² Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Apartado 22085, 46071, Valencia, Spain
³ Institute of Theoretical Physics, CAS, Zhong Guan Cun East Street 55, 100190, Beijing, China

^* e-mail: dailr@lnnu.edu.cn

Received: 10 October 2018
Accepted: 5 January 2019
Published online: 15 February 2019

Abstract

We perform a calculation of the $\tau^{-} \rightarrow \nu_{\tau} M_{1} M_{2}$ , with $M_{1}, M_{2}$ either pseudoscalar or vector mesons using the basic weak interaction and angular momentum algebra to relate the different processes. The formalism also leads to a different interpretation of the role played by G-parity in these decays. We also observe that, while PP p-wave production is compatible with chiral perturbation theory and experiment, VP and VV p-wave production is clearly incompatible with experiment and we develop the formalism also in this case, producing the VP or VV pairs in s-wave. We compare our results with experiment and other theoretical approaches for rates and invariant mass distributions and make predictions for unmeasured decays. We show the value of these reactions, particularly if the $M_{1} M_{2}$ mass distribution is measured, as a tool to learn about the meson-meson interaction and the nature of some resonances, coupling to two mesons, which are produced in such decays.