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The Martin-Newton condition in screened Coulomb scattering

Условие Мартина-Ньютона в проблеме рассеяния на зкранированном кулоновском потенциале

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Il Nuovo Cimento A (1965-1970)

Summary

The sufficiency condition for the existence of solutions of the unitarity integral for the phase of the amplitude is discussed for the screened Coulomb scattering amplitudes.

Riassunto

Si discute la condizione sufficiente per l’esistenza di soluzioni dell’integrale di unitarietà per la fase dell’ampiezza nel caso di ampiezze di scattering schermato di Coulomb.

Реэюме

Для амплитуд рассеяния на зкранированном кулоновском потенциале обсуждается достаточное условие для сушествования рещений для интеграла унитарности для фаэы амплитуды.

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References

  1. A. Martin:Nuovo Cimento,59 A, 131 (1969).

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  2. R. G. Newton:Journ. Math. Phys.,9, 2050 (1968).

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  3. I. A. Sakmar:Lett. Nuovo Cimento,2, 256 (1969).

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  4. H. Goldberg:Phys. Rev. D,1, 1242 (1970).

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  5. See, for instance,L. I. Schiff:Quantum Mechanics (New York, N. Y., 1968), p. 140. (See alsoS. S. Schweber, H. A. Bethe andF. de Hoffmann:Mesons and Fields, Vol.1 (Evanston, Ill., 1956), p. 42, 74 and also p. 309.)

  6. See, for instance,L. I. Schiff:Quantum Mechanics (New York, N. Y., 1968), p. 325.

  7. See, for instance,L. I. Schiff:Quantum Mechanics (New York, N. Y., 1968), p. 334.

  8. See, for instance,I. S. Gradshteyn andI. M. Ryzhik:Table of Integrals, Series and Products (translated from Russian, edited byA. Jeffrey (New York, N. Y., and London, 1965)), p. 148.

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Authors and Affiliations

  1. Applied Mathematics Department, University of Western Ontario, London, Ont., Canada

    I. A. Sakmar

Authors
  1. I. A. Sakmar
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To speed up publication, the author of this paper has agreed to not receive the proofs for correction.

Research supported by the National Research Council of Canada.

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Sakmar, I.A. The Martin-Newton condition in screened Coulomb scattering. Nuov Cim A 45, 153–160 (1978). https://doi.org/10.1007/BF02724660

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  • DOI: https://doi.org/10.1007/BF02724660

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