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Exact form for scattering amplitude in Regge pole theory

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Il Nuovo Cimento (1955-1965)

Summary

The exact form for the contribution of a single Regge pole is given both for positive and negative angular momentum without making the usual approximations. This exact form involves Legendre functions of the first and second kind with nonintegral index and argument greater than one. These functions were calculated using the IBM 7090 computer at Brookhaven and are plotted in this paper. A one-parameter fit is made to the high-energy p-p elastic scattering data which give good agreement with experiment.

Riassunto

Si dà la forma esatta del contributo di un singolo polo di Regge sia per un momento angolare positivo che per uno negativo senza fare le solite approssimazioni. Questa forma esatta comporta funzioni di Legendre di prima e seconda specie con indici non interi ed argomento maggiore di uno. Si sono calcolate queste funzioni per mezzo délia calculatrice IBM 7090 di Brookhaven e qui se ne dànno i diagrammi. Si è fatta una approssimazione ad un parametro ai dati dello scattering elastico p-p di alta energia, che dà un tauon accordo con gli esperimenti.

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Authors and Affiliations

  1. Brookhaven National Laboratory, Upton, N. Y.

    A. L. Read

  2. Cornell University, Ithaca, N. Y.

    J. Orear & H. A. Bethe

Authors
  1. A. L. Read
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  2. J. Orear
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  3. H. A. Bethe
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Additional information

Research supported in part by the U.S. Atomic Energy Commission and the National Science Foundation.

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Read, A.L., Orear, J. & Bethe, H.A. Exact form for scattering amplitude in Regge pole theory. Nuovo Cim 29, 1051–1058 (1963). https://doi.org/10.1007/BF02750131

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  • DOI: https://doi.org/10.1007/BF02750131

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