Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Limited Resurrection of the Born Approximation

Paul Finkler

  • Behlen Laboratory of Physics, University of Nebraska, Lincoln, Nebraska 68508

Phys. Rev. D 2, 173 – Published 1 July, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.173

Abstract

It is shown that the ordinary Born approximation for pn and pp¯ charge-exchange scattering correctly accounts for (1) the shape of the forward peak for 0(t)μ22 at PL=8 GeVc, and (2) the energy dependence of the cross sections at t=0 in the energy range PL=28 GeVc. This result is analogous to the well-known success of the electric Born approximation in π+ photoproduction. It is then shown that the simplest interpretation of this surprising result within the framework of Regge-pole theory is in terms of the fixed poles which are allowed by unitarity in hadronic amplitudes at certain nonsense points of right signature. Finally, it is shown how such a fixed pole at a nonsense point of one helicity amplitude affects another amplitude for which the corresponding point is sense.

References (21)

  1. A. M. Boyarski, F. Bulos, W. Busza, R. Diebold, S. D. Ecklund, G. E. Fischer, J. Rees, and B. Richter, Phys. Rev. Letters 20, 300 (1968)
  2. G. Manning, A. G. Parham, J. D. Jafar, H. B. vanderRaay, D. H. Reading, D. G. Ryan, B. D. Jones, J. Malos, and N. H. Lipman, Nuovo Cimento 41, 167 (1966)
  3. L. Durand, Phys. Rev. Letters 19, 1345 (1967)
  4. J. S. Ball, W. R. Frazer, and M. Jacob, Phys. Rev. Letters 20, 518 (1968) R. J. N. Phillips, Nucl. Phys. B2, 394 (1967)
  5. L. Van Hove, Phys. Letters 24B, 183 (1967)
  6. J. S. Ball and M. Jacob, Nuovo Cimento 54, 620 (1968)
  7. M. Halpern, Phys. Rev. 160, 1441 (1967) L. Jones and C. Rebbi, Report No. CALT 68-168 1968 (unpublished)
  8. P. Finkler, Phys. Rev. D 1, 1172 (1970)
  9. M. L. Goldberger, U. T. Grisaru, S. W. MacDowell, and D. Y. Wong, Phys. Rev. 120, 2250 (1960)
  10. [9]
  11. V. K. Samaranayake and W. S. Woolcock, Phys. Rev. Letters 15, 936 (1965)
  12. R. Blankenbecler, M. L. Goldberger, and F. R. Halpern, Nucl. Phys. 12, 629 (1959)
  13. R. J. Eden in High Energy Collisions of Elementary Particles, (Cambridge U. P., Cambridge, England, 1967)
  14. P. Astbury, G. Brautti, G. Finocchiaro, A. Michelini, D. Websdale, C. H. West, E. Polgar, W. Beusch, W. E. Fischer, B. Gobbi, and M. Pepin, Phys. Letters 23, 160 (1966)
  15. J. L. Friedes, H. Palevsky, R. L. Stearns, and R. J. Sutter, Phys. Rev. Letters 15, 38 (1965) H. Palevsky, J. A. Moore, R. L. Stearns, H. R. Menther, R. J. Sutter, R. E. Chrien, A. P. Jain, and K. Otnes, ibid. 9, 509 (1962)
  16. Omitted endnote

  17. Omitted endnote

  18. R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)
  19. S. Mandelstam, Nuovo Cimento 30, 1113 (1963)
  20. I. J. Muzinich, Phys. Rev. 130, 1571 (1963)
  21. E. Escoubes et al., Phys. Letters 5, 132 (1963)

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation