Abstract
The production of the 3/2, 3/2 resonance by neutrinos incident on nucleons is considered in the framework of the Rarita-Schwinger formalism for spin-f particles. With the help of the conserved vector theory, and the Goldberger-Treiman relation, the value of certain coefficients is estimated. Wherever information is lacking, the static theory is used. The interaction determined in this way is then used to obtain total cross-sections. The result is that the total cross-section on complex nuclei as function of neutrino energy behaves similarly to, but is in absolute value larger than, the elastic process cross-section. Properties of the spin-3/2 density matrix under the combined assumptions of time-reversal invariance and Born approximation are derived and the general expression for the angular distribution of the decay pion in theN* rest frame is given.
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