Spin Determination for Boson Resonances

Abstract

A method of spin and parity determination has been worked out for boson resonances of spin $S$ which decay into a spin-1 particle and a spin-0 particle. It is shown that the quantity $S(S+1\mathrm{})\mathrm{}$ can be given in terms of experimentally measurable averages. This affords a straightforward way of determining the spin uniquely. For the parity assignment, one finds that certain experimental averages are identically zero for one parity case and not the other. In addition, for the parity case in which two orbital angular momenta are allowed, decay parameters as well as multipole parameters for the spin-$S$ particle can be determined.