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High-energy behaviour of partial-wave amplitudes

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Il Nuovo Cimento (1955-1965)

Summary

It is shown that the assumptions of Regge behaviour and the Mandelstam representation do not immediately yield useful information on the high-energy properties of partial-wave amplitudes. An additional assumption is suggested and this leads to a decreasing behaviour, dominated on the right, but apparently not on the left, by crossedchannel Regge poles.

Riassunto

Si dimostra che l’ipotesi di comportamento di Regge e la rappresentazione di Mandelstam non danno immediatamente informazioni utili sulle proprietà delle ampiezze delle onde parziali alle alte energie. Si suggerisce un’ipotesi aggiuntiva che porta ad un comportamento decrescente, dominato a destra, ma evidentemente non a sinistra, da poli di Regge di canali incrociati.

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References

  1. See, for example, the reviews ofJ. Hamilton, F. Zachariesen andE. J. Squijres at the 1963 Edinburgh Summer School (Edinburgh, 1964).

  2. G. F. Chew:Phys. Rev.,129, 2363 (1963).

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  3. R. Omnès:Phys. Rev.,133, B 1543 (1964).

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  5. V. N. Gribov, I. Ya. Pomeranchuk andK. A. Ter-Maktirostan:Phys. Lett.,9, 269 (1964).

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  6. N. N. Khuri:Phys. Rev.,130, 429 (1963);E. Jones: private communication. See alsoG. F. Chew:Phys. Rev.,129, 2863 (1963) andE. J. Squires:Complex Angular Momentum and Particle Physics (New York, 1963), Sect. 54.

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  7. I. G. Halliday:High-Energy Behaviour at Fixed Angle in Perturbation Theory (Cambridge preprint, 1963).

  8. See, for example,G. F. Chew:S-matrix Theory (New York, 1962); alsoE. J. Squires (1), Sect. 3.4.

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Authors and Affiliations

  1. Tait Institute of Mathematical Physics, University of Edinburgh, Edinburgh

    E. J. Squires

Authors
  1. E. J. Squires
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Additional information

An outline of this work was presented at the meeting of the Institute of Physics and the Physical Society at N.I.R.N.S. in April 1964.

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Squires, E.J. High-energy behaviour of partial-wave amplitudes. Nuovo Cim 34, 1277–1282 (1964). https://doi.org/10.1007/BF02748853

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  • DOI: https://doi.org/10.1007/BF02748853

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