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Representation of the S Matrix by Regge Parameters

Hung Cheng*

  • Physics Department, Harvard University, Cambridge, Massachusetts

  • *Work supported in part by the U. S. Air Force Office of Scientific Research, under Contract No. AF 49(638)589.
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Phys. Rev. 144, 1237 – Published 29 April, 1966

DOI: https://doi.org/10.1103/PhysRev.144.1237

Abstract

We express the S matrix of complex angular momentum and positive energy by Regge poles, proving that a knowledge of the Regge poles enables one to determine the S matrix uniquely. The background integral in the Mandelstam-Sommerfeld-Watson transform cannot be made to vanish by closing the contour to the left. Furthermore, one cannot express the scattering amplitude by an infinite-series sum of Regge-pole terms where each term is given by the Khuri representation.

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References (6)

  1. H. Cheng and T. T. Wu, preceding paper, Phys. 144, 1232 (1966)

  2. Omitted endnote

  3. B. P. Desai and R. G. Newton, Phys. Rev. 129, 1445 (1963)
  4. A. Bottino, A. M. Longoni, and T. Regge, Nuovo Cimento 23, 954 (1962)
  5. S. Mandelstam, Ann. Phys. (N. Y.) 19, 254 (1962)
  6. N. N. Khuri, Phys. Rev. 130, 429 (1963)

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Phys. Rev. 144, 1237– Published 29 April, 1966
  • Received 5 March 1965

© 1966 American Physical Society

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