Abstract
Asymptotic behaviour of the Coulomb-nuclearS-matrix for a Yukawa type “nuclear” potential is discussed using the behaviour of Jost solutions for large values of angular momentum in the left-half λ-plane. The advantages of studying the Jost solution instead of the regular solution are examined. Applicability of the methods of Olver in studying the asymptotic solution is also taken into account. The asymptotic behaviour of theS-matrix given byS(λ,k)=O(exp [2πiλ]) (divergent along the negative imaginary axis) is replaced by the general asymptotic behaviour |S(λ,k)|=O(1) in the left-half angular-momentum plane. The results for the pure nuclear problem form a special case of our results.
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