Collision cross sections in terms of local observables

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Asymptotic relations for matrix elements of quasilocal operators are given which generalize and extend the Lehmann-Symanzik-Zimmermann relations. These relations allow the simulation of a coincidence arrangement of particle detectors in the mathematical frame of the theory and thereby the expression of collision cross sections in terms of expectation values of observables.

This paper results from the collaboration of the authors during the winter semester 63/64 at Urbana, Illinois and was partly supported by the NSF.