Abstract

A general theory of nonlocal, separable operators in scattering theory is developed on the basis of variational techniques and eigenvalue analysis. The formalism gives as limiting cases the three-particle isobar model as well as the quasiparticle formalism. The extreme sensitivity of off-shell multiparticle theories to calculation approximation schemes is minimized by our methods. The theory provides optimal systematic extension and improvement of several multiparticle models.

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