Abstract

A dispersion relation for the scattering of a Klein-Gordon particle by a fixed static interaction is derived. The dispersion relation is valid only for momentum transfers less than a given limit determined by the behavior of the interaction at large distances. The dependence of this limit on the mass spectrum is discussed, and it is found that if the system admits sufficiently exothermic inelastic processes, the derivation fails even in the case of forward scattering.

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