- Access by Xinjiang University
Eikonal Approximation for Inelastic Processes
Phys. Rev. D 4, 840 – Published 1 August, 1971
DOI: https://doi.org/10.1103/PhysRevD.4.840
Abstract
The eikonal approximation for the contributions to inelastic scattering from arbitrarily crossed ladder graphs is considered. The particle represented by one of the "sidepieces" of the ladders is allowed to change its state and mass at each rung; the other sidepiece particle is restricted to have at most one change of state, and that only if its elastic interactions are the same in the two states. When the denominators of the latter sidepiece can be linearized, the amplitudes reduce to forms essentially identical to those found in nonrelativistic coupled-channel potential theory. This result is independent of the ratio of the energy to the sidepiece mass and connects smoothly the nonrelativistic and extreme relativistic regimes. Its implications for absorptive models are discussed briefly.
References (24)
- M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1965), p. 110
- R. J. Glauber, in Lectures in Theoretical Physics, edited by W. E. Brittin and L. G. Dunham (Interscience, New York, 1959), p. 315 in High Energy Physics and Nuclear Structure, edited by S. Devons (Plenum, New York, 1970), p. 207
- R. Torgerson, Phys. Rev. 143, 1194 (1966)
- H. Cheng and T. T. Wu, Phys. Rev. 186, 1611 (1969)
- S. J. Chang and S. Ma, Phys. Rev. Letters 22, 1334 (1969)
- H. D. I. Abarbanel and C. I. Itzykson, Phys. Rev. Letters 23, 53 (1969)
- M. Lévy and J. Sucher, Phys. Rev. 186, 1656 (1969)
- F. Englert, P. Nicoletopoulos, R. Brout, and C. Truffin, Nuovo Cimento 64, 561 (1969)
- H. M. Fried and T. K. Gaisser, Phys. Rev. 179, 1491 (1969)
- R. Blankenbecler and R. L. Sugar, Phys. Rev. D 2, 3024 (1970)
- G. Tiktopoulos and S. B. Treiman, Phys. Rev. D 2, 805 (1970) ibid.3, 1037 (1970)
- N. J. Sopkovitch, Nuovo Cimento 26, 186 (1962)
- K. Gottfried and J. D. Jackson, Nuovo Cimento 34, 735 (1965)
- L. Durand and Y. T. Chiu, Phys. Rev. 139, B646 (1965)
- R. C. Arnold, Phys. Rev. 153, 1523 (1967)
- R. Torgerson, Lett. Nuovo Cimento 1, 378 (1971)
- D. R. Harrington, Phys. Rev. 170, 1460 (1968)
Omitted endnote
- [4]
- G. von Bachmann and B. Margolis, Nucl. Phys. B14, 609 (1969)
- H. Feshbach and J. Hüfner, Ann. Phys. (N. Y.) 56, 268 (1970)
- [8,16]
- [7]
- E. T. Whittaker and G. N. Watson, A Course in Modern Analysis (Cambridge Univ. Press, Cambridge, 1958), p. 229