Partial wave analysis of reactions with four meson final states

TL;DR

This paper develops a covariant formalism for partial-wave analysis of reactions producing four pseudoscalar mesons, applicable to high-statistics data, considering different decay topologies and specific production processes.

Contribution

It introduces a novel covariant method for analyzing four-meson final states, accommodating multiple decay pathways and applicable to various high-energy collision experiments.

Findings

Formalism applicable to high-statistics data

Handles multiple decay topologies

Suitable for central collisions and $J/\Psi$ decays

Abstract

We construct a formalism which describes the resonances decaying into four pseudoscalar meson final states. This method is fully covariant and can be directly applied for the partial-wave analysis of high statistical data. Two topologies of the process are considered: two intermediate resonances each decaying into two final mesons and cascade decay via three meson intermediate states. In particular, we consider the production of such states in the central collision reactions and in radiative $J/\Psi$ decay.