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The Adler-Weisberger sum rule

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Zeitschrift für Physik

Abstract

Starting from a weak form of the axial current algebra and usingFubini's covariant dispersion method we give a fairly rigorous derivation of the Adler-Weisberger sum rule. Special attention is given to the necessary continuation in the “pion mass”. Combining the sum rule with the forwardπ ± p dispersion relation we obtain a sum rule containing essentially low energy data. A numerical evaluation is given for two sets of existing s-waveπN scattering lengths. The one reproducesAdler's andWeisberger's results, the other improves the agreement with experiment giving rA=1.20.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität Heidelberg, Deutschland

    V. F. Müller & J. Rothleitner

  2. Kernforschungszentrum Karlsruhe, Deutschland

    V. F. Müller

Authors
  1. V. F. Müller
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  2. J. Rothleitner
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Additional information

We wish to thank Prof. B.Stech for discussions.

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Müller, V.F., Rothleitner, J. The Adler-Weisberger sum rule. Z. Physik 202, 349–363 (1967). https://doi.org/10.1007/BF01331219

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  • DOI: https://doi.org/10.1007/BF01331219

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