Abstract
Higher moments of Gaussian statistical variables can be expressed in terms of second moments. Such relations can be experimentally tested on resonance decay amplitudes. In the present paper, the error of such a test is derived. The error is due to the finite numberN of resonances analyzed. The statistical accuracy of presently available experiments turns out to be rather limited.
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The author benefitted from helpful discussions with Professor H. Hofmann and Dr. T. Mertelmeier.
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Harney, H.L. Are resonance decay amplitudes Gaussian variables?. Z Physik A 316, 177–182 (1984). https://doi.org/10.1007/BF01412260
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DOI: https://doi.org/10.1007/BF01412260