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Limited Resurrection of the Born Approximation
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 and charge-exchange scattering correctly accounts for (1) the shape of the forward peak for at , and (2) the energy dependence of the cross sections at in the energy range . This result is analogous to the well-known success of the electric Born approximation in 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)
- 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)
- 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)
- L. Durand, Phys. Rev. Letters 19, 1345 (1967)
- J. S. Ball, W. R. Frazer, and M. Jacob, Phys. Rev. Letters 20, 518 (1968) R. J. N. Phillips, Nucl. Phys. B2, 394 (1967)
- L. Van Hove, Phys. Letters 24B, 183 (1967)
- J. S. Ball and M. Jacob, Nuovo Cimento 54, 620 (1968)
- M. Halpern, Phys. Rev. 160, 1441 (1967) L. Jones and C. Rebbi, Report No. CALT 68-168 1968 (unpublished)
- P. Finkler, Phys. Rev. D 1, 1172 (1970)
- M. L. Goldberger, U. T. Grisaru, S. W. MacDowell, and D. Y. Wong, Phys. Rev. 120, 2250 (1960)
- [9]
- V. K. Samaranayake and W. S. Woolcock, Phys. Rev. Letters 15, 936 (1965)
- R. Blankenbecler, M. L. Goldberger, and F. R. Halpern, Nucl. Phys. 12, 629 (1959)
- R. J. Eden in High Energy Collisions of Elementary Particles, (Cambridge U. P., Cambridge, England, 1967)
- 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)
- 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)
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- R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)
- S. Mandelstam, Nuovo Cimento 30, 1113 (1963)
- I. J. Muzinich, Phys. Rev. 130, 1571 (1963)
- E. Escoubes et al., Phys. Letters 5, 132 (1963)