Abstract
Production of a spin-1 boson from a spin-\textonehalf{} fermion by a photon is discussed. First, general formulas are given for the number of invariant amplitudes in a reaction involving two particles in both the initial and final states. They give, with parity conservation, 12 amplitudes for the process under discussion. These 12 amplitudes are enumerated and grouped in a way which emphasizes the similarities between this process and photoproduction of spin-0 mesons. Expressions are given for all 64 physical observables which can be measured when the meson polarization is averaged over. It is shown that the measurement of the recoil-nucleon polarization and the differential cross section from polarized nucleon targets is here not sufficient to determine the parity of the meson produced (as it was in the case of spin-0 photoproduction), but this measurement instead allows a distinction of spin-0 and spin-1 meson photoproduction (independent of the parity) in case the spin of the meson produced is unknown. Finally a one-particle-exchange calculation of the vector-meson production process is given, using as intermediate particles a nucleon, a pion, and one or several kinds of vector mesons.
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