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  • Access by Xinjiang University

Eikonal Expansion

R. L. Sugar and R. Blankenbecler

  • Department of Physics, University of California, Santa Barbara, California 93106

Phys. Rev. 183, 1387 – Published 25 July, 1969

DOI: https://doi.org/10.1103/PhysRev.183.1387

Abstract

A systematic study is made of high-energy scattering in nonrelativistic quantum mechanics. Approximate amplitudes are obtained for the scattering of a high-energy projectile off a single particle and off a compound system. Our results hold for all momentum transfers. Near the forward direction, they reduce to the wellknown Glauber formulas, and for large momentum transfers, the leading terms are seen to correspond to the Mandelstam-cut diagrams.

References (7)

  1. R. J. Glauber, in High-Energy Physics and Nuclear Structure, edited by G. Alexander (North-Holland Publishing Co., Amsterdam, 1967), pp. 311-338
  2. T. T. Chou and C. N. Yang, Phys. Rev. 170, 1591 (1968) R. C. Arnold, ibid. 153, 1523 (1967) R. C. Arnold and M. L. Blackmon, ibid. 176, 2082 (1968) S. Frautschi and B. Margolis, Nuovo Cimento 56A, 1155 (1968) L. Durand, III, and R. Lipes, Phys. Rev. Letters 20, 637 (1968)
  3. R. J. Glauber, in Lectures in Theoretical Physics, edited by E. Brittin and L. G. Dunham (Wiley-Interscience, Inc., New York, 1959), Vol. I, p. 315
  4. D. S. Saxon and L. I. Schiff, Nuovo Cimento 6, 614 (1957) D. K. Ross, Phys. Rev. 173, 1695 (1968)
  5. G. Molière, Z. Naturforsch 2, 133 (1947) R. J. Glauber, Phys. Rev. 91, 459 (1953)
  6. Omitted endnote

  7. S. Mandelstam, Nuovo Cimento 30, 1127 (1963) ibid.30, 1148 (1963)

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