The Adler-Weisberger sum rule |
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Authors: | V F Müller J Rothleitner |
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Institution: | 1. Institut für Theoretische Physik der Universit?t Heidelberg, Deutschland 2. Kernforschungszentrum Karlsruhe, Deutschland
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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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