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Finite-energy sum rules on hyperbolas. — I

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Il Nuovo Cimento A (1965-1970)

Summary

Dispersion relations and finite-energy sum rules (FESR’s) on hyperbolas in the real Mandelstam plane which are asymptotic to lines of fixeds andu together with an ellipse on whichs andu are complex are derived. These FESR’s on hyperbolas are applied to backward and near-backward πN scattering and are used to extract information about the first eight partial-wave amplitudes for the reactionN - N → ππ in the article which follows this.

Riassunto

Si deducono le relazioni di dispersione e le regole di somma di energia finita (FESR) su iperboli nel piano di Mandelstam reale che sono asintotiche alle linee dis eu fissati assieme ad un ellisse su cuis eu sono complessi. Si applicano queste FESR su iperboli allo scattering πN all’indictro o quasi all’indietro e le si usa nell’articolo successivo per ricavare informazioni sulle prime otto ampiezze di onda parziale per la reazioneN - N → ππ nell’articolo seguente.

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Authors and Affiliations

  1. Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Md.

    P. W. Greenberg & J. C. Sandusky

Authors
  1. P. W. Greenberg
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  2. J. C. Sandusky
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Additional information

To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.

Supported in part by the National Science Foundation under Grant NSF GP 8748.

A preliminary version of this work was reported at the XV International Conference on High-Energy Physics, Kiev, August 1970).

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Greenberg, P.W., Sandusky, J.C. Finite-energy sum rules on hyperbolas. — I. Nuov Cim A 6, 617–626 (1971). https://doi.org/10.1007/BF02723392

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  • DOI: https://doi.org/10.1007/BF02723392

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