The matrix element for the interaction W+N→π+N is studied, where W is a virtual intermediate boson for the weak interactions (or just the weak current). Weak pion production---production of a pion by high-energy neutrino collisions with nucleons---is governed by this matrix element. The main case of interest is in the energy region where the pion-nucleon 3-3 resonance is dominant. Formulas are derived for solving the problem in this region.
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Norman Dombey (1962) studied this question.
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