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On the infinity in the second Born approximation for the Coulomb field

Published online by Cambridge University Press:  24 October 2008

L. R. B. Elton
L. R. B. Elton
Affiliation:
Wheatstone Department of PhysicsKing's CollegeLondon
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Abstract

It is shown that the infinity arising in the second Born approximation to the scattering amplitude of a particle scattered by a Coulomb field is due to the distortion at infinity of Coulomb waves. Ways of subtracting out this infinity, which does not lead to any observable effects, are indicated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 2 , April 1955 , pp. 333 - 343
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

REFERENCES

(1)Dalitz, R. H.Proc. roy. Soc. A, 206 (1951), 509.Google Scholar
(2)Erdélyi, A.Higher transcendental functions (New York, 1953).Google Scholar
(3)Gordon, W.Z. Phys. 48 (1928), 180.Google Scholar
(4)Källén, G.Ark. Fys. 2 (1951), 33.Google Scholar
(5)Mott, N. F. and Massey, H. S. W.The theory of atomic collisions, 2nd ed. (Oxford, 1949).Google Scholar
(6)Parzen, G.Phys. Rev. (2), 76 (1949), 592.Google Scholar