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Dispersion relations for a two-channel scattering process: residues of the scattering amplitudes

Published online by Cambridge University Press:  24 October 2008

J. Underhill
J. Underhill
Affiliation:
Department of Mathematics, University of Glasgow
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Extract

1. This paper is a continuation of a previous one(1), in which dispersion relations satisfied by the scattering amplitudes for a non-relativistic two-channel scattering process were derived. It was shown that for the process described by the integral equations

with

the scattering amplitudes Mi(E, τ) (where E is the incident energy and τ is the momentum transfer), satisfy the relations

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 1 , January 1963 , pp. 161 - 166
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

REFERENCES

(1)Underhill, J.Proc. Cambridge Philos. Soc. 58 (1962), 363.CrossRefGoogle Scholar
(2)Underhill, J. Thesis, University of London, 1960.Google Scholar