https://doi.org/10.1140/epja/i2019-12690-9
Regular Article - Theoretical Physics
, with M1, M2 pseudoscalar or vector mesons
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
We perform a calculation of the 
, with 
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 
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.
© SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2019
