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An impact-parameter representation for all scattering angles

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Il Nuovo Cimento A (1965-1970)

Summary

An impact-parameter representation of the potential scattering amplitude, valid over the whole range of scattering angles is derived. Its high-energy limit is then investigated for a potential which depends linearly on the c.m. momentum. The convergence of the general formula to the usual Glauber expression at vanishing scattering angles is demonstrated, and a method for deriving finite-energy corrections to the scattering amplitude is presented.

Riassunto

Si deduce una rappresentazione dell’ampiezza dello scattering di potenziale col parametro di impatto, valida su tutto il campo degli angoli di scattering. Si studia poi il suo limite di alta energia per un potenziale che dipende linearmente dall’impulso del centro di massa. Si dimostra la convergenza della formula generale all’usuale espressione di Glauber per angoli di scattering tendenti a zero, e si presenta un metodo per dedurre correzioni di energia finita all’ampiezza di scattering.

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References

  1. R. J. Glauber:Lectures in Theoretical Physics, Vol.1 (New York, 1959), p. 315.

  2. See, for example, the following review articles and the references therein:L. Bertocchi andE. Ferrari:High-Energy Physics, Vol.2 (New York, London, 1967), p. 131;M. M. Islam:Lectures in Theoretical Physics, Vol.10 B (New York, 1968), p. 97;A. Kumar:The eikonal approximation, lectures delivered at Westfield College, University of London, Westfield preprint (Feb. 1971).

  3. S. Frautschi andB. Margolis:Nuovo Cimento,56 A, 1155 (1968).

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  4. S. Rosendorff andS. Tani:Phys. Rev.,128, 457 (1962);A. Paliov andS. Rosendorff:Journ. Math. Phys.,8, 1829 (1967);G. Berlad:High-energy scattering of hadrons in a potential model, M. Sc. Thesis, Department of Physics, Technion, Haifa (1968);H. Cheng andT. T. Wu:Phys. Rev. D,3, 2397 (1971).

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  5. H. Cheng andT. T. Wu:High-energy scattering in the Φ 3 -theory and the break-down of the eikonal approximation, I, DESY preprint, DESY 71/13.

  6. See,e.g., the first review of ref. (2), p. 134.

  7. C. Baglin et al.: CERN preprint (1971).

  8. Similar corrections are proposed in the last paper of ref. (4).

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Authors and Affiliations

  1. Department of Physics, Technion-Israel Institute of Technology, Haifa

    G. Berlad

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  1. G. Berlad
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Berlad, G. An impact-parameter representation for all scattering angles. Nuov Cim A 6, 594–600 (1971). https://doi.org/10.1007/BF02723390

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  • DOI: https://doi.org/10.1007/BF02723390

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