1. The problem statement, all variables and given/known data A particle of spin 3/2 decays into a nucleon and pion. Show how the angular distribution in the final state (with spin not measured) can be used to determine the parity of the decaying particle. 2. Relevant equations The parity of a nucleon and a pion is 1 and -1,respectively. The spin of a nucleon and a pion is 1/2 and 0,respectively. 3. The attempt at a solution The total spin of the nucleon and pion is 1/2. Then I stuck here...since total spin 1/2 can not form a spin 3/2 particle? I know it must somewhere went wrong. Any advice would be very appreciated!