Unitarity and On-Mass-Shell Analyticity as a Basis for S-Matrix Theories. II

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Abstract
Sets of postulates for S‐matrix theories are given and used to construct potentially complete dynamical theories for scattering of strongly interacting particles, based essentially on the unitarity relations and on‐mass‐shell analyticity of scattering amplitudes. In one formulation, the unitarity relations for stable particles are used to derive the corresponding relations for cuts associated with unstable particle states. In a second formulation, an attempt is made to treat stable and unstable particles on a more equal footing. Crossing symmetries and decomposition laws for single‐particle poles appear as consequences of the postulates.