Construction of Coupled Scattering and Production Amplitudes Satisfying Analyticity and Unitarity

The methods for constructing single-channel scattering amplitudes, production amplitades, and vertex functions on the basis of analyticity and unitarity have been extended to the case of pi /sup 2/ coupled amplitades T/sub ij/ ( omega ) representing the production and scattering among n different channels. each of which may have a different threshold energy. The equations for these methods are derived and applications to double pion production, associated production. and K/sup -/-- N scattering are in progress. (B.O.G.)