Spin-Parity Analysis for Boson Resonances

A general helicity formalism is developed for the determination of spin and parity of boson resonances of arbitrary spin which have sequential decay modes. The procedure is illustrated with a few simple but, in practice, important decay modes, namely, $1^{-}$+$1^{-}$, $1^{\pm }$+$0^{-}$, and $2^{+}$+$0^{-}$, where $1^{\pm }$ and $2^{+}$ mesons in turn decay into 2 or 3 pseudoscalar mesons. The method proposed here is independent of the dynamics of the production and decay process.