Form of Scattering Amplitude for Two Systems of Arbitrary Spins

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Abstract
A general expression for the elastic scattering amplitude of two systems of arbitrary spins is derived in terms of the particle spin operators and momenta. Invariance under space and time translations and space rotation is assumed. Time-reversal and space-rotation invariances are shown to require certain terms of the derived expression to be zero. Two cases are considered; the scattering of two systems of finite mass, and the scattering of a massless particle from a system of finite mass.