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Two-dimensional expansions of relativistic amplitudes in the Mandelstam triangle and crossing symmetric reactions

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Czechoslovak Journal of Physics B Aims and scope

Abstract

Two-variable expansions of scattering amplitudes based on theO(3,1) group are extended into the decay region of the Mandelstam plane and compared with expansions based on anSU(3) group. TheO(4) partial wave crossing matrices are calculated and the problem of imposing crossing symmetry is discussed.

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Author notes

  1. P. Winternitz

    Present address: Department of Physics, Carnegie-Mellon University, 15213, Pittsburgh, Pa, USA

Authors and Affiliations

  1. Rutherford High Energy Laboratory, Chilton, Didcot, Berkshire, England

    P. Winternitz

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  1. P. Winternitz
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Additional information

Dedicated to Professor V. Votruba on his sixtieth birthday.

On leave of absence fromNuclear Research Institute of the Czechoslovak Academy of Sciences, Řež near Prague, Czechoslovakia.

The author thanks Drs. J. M. Charap, B. M. Minton, W. Montgomery, P. Pajas, L. O'Raifeartaigh and R. J. N. Phillips for discussions of problems related to this article and Drs. R. J. N. Phillips, T. G. Pickavance and G. H. Stafford for their hospitality at the Rutherford High Energy Laboratory.

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Winternitz, P. Two-dimensional expansions of relativistic amplitudes in the Mandelstam triangle and crossing symmetric reactions. Czech J Phys 19, 1589–1601 (1969). https://doi.org/10.1007/BF01698902

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  • DOI: https://doi.org/10.1007/BF01698902

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