On the Application of Heisenberg's Theory of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-Matrix to the Problems of Resonance Scattering and Reactions in Nuclear Physics

Abstract

It is shown in the present paper that the Heisenberg $S$-matrix can have only simple poles and zeros in the complex plane of momentum and energy variables when the range of force is short. This fact is sufficient to determine the dispersion formulae in nuclear physics.