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Peculiarities of solutions to the Chew Low equation in the no crossing approximation

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

We show that the canonical prescription for finding a solution to the static Chew-Low theory of the pion-nucleon interaction breaks down for physically acceptable values of the coupling constant and form factor, if crossing symmetry is dropped. The difficulty is associated with the appearance of a pole (whose behavior is similar to a “ghost state” pole) in the scattering amplitude in repulsive channels. We show that solutions without this pole can be obtained by including CDD poles in the denominator function, giving rise to a zero in the amplitude or the positive real axis.

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Author notes

  1. R. A. Friedenberg

    Present address: Ebasco Services Inc., 2 Rector Street, 10006, N.Y., N.Y.

Authors and Affiliations

  1. Physics Department, Texas A & M University, College Station, Texas, USA

    D. J. Ernst

  2. Physics Department, University of Washington, Seattle, Washington, USA

    R. A. Friedenberg

  3. Los Alamos Scientific Laboratory of the University of California, Los Alamos, New Mexico, USA

    Mikkel B. Johnson

Authors
  1. D. J. Ernst
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  2. R. A. Friedenberg
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  3. Mikkel B. Johnson
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Additional information

Supported, in part, by the National Science Foundation

Supported, in part, by the U.S. Energy Research and Development Administration

Work performed under the aucpices of the U.S. Energy Research and Development Administration

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Ernst, D.J., Friedenberg, R.A. & Johnson, M.B. Peculiarities of solutions to the Chew Low equation in the no crossing approximation. Z Physik A 287, 363–367 (1978). https://doi.org/10.1007/BF01481718

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  • DOI: https://doi.org/10.1007/BF01481718

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