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Phase-modulus correlations for forward-scattering amplitudes without the Froissart bound

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Czechoslovak Journal of Physics B Aims and scope

Abstract

The role of the Froissart-Martin bound in obtaining rigorous phase-modulus asymptotic correlations for forward scattering is examined. A general form of the asymptotic upper bound on the total cross sectionσ covering the majority of cases occuring in weak interactions as well as in model field theories is assumed and its consequences for the asymptoticσ-ϱ correlations are drawn,ϱ being the ratio ReF/ImF for the crossing-even forward scattering amplitudeF. It is shown that the form of the correlations depends in an essential way on the absolute bound onσ assumed. Generalizations to the crossing-odd amplitude as well as to non-forward scattering are pointed out.

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Authors and Affiliations

  1. Institute of Physics, Czechosl. Acad. Sci., Prague, Na Slovance 2, I8O 40, Praha 8, Czechoslovakia

    J. Fischer & O. E. Shishanin

Authors
  1. J. Fischer
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  2. O. E. Shishanin
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Additional information

On leave of absence from theAll Union Polytechnical Institute, Moscow, Pavel Korchagin Street, 22, USSR.

Discussions with V.Alda, P.KoláŘ and R.šály are gratefully acknowledged.

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Fischer, J., Shishanin, O.E. Phase-modulus correlations for forward-scattering amplitudes without the Froissart bound. Czech J Phys 27, 1201–1209 (1977). https://doi.org/10.1007/BF01589016

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  • DOI: https://doi.org/10.1007/BF01589016

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