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A computation of Adler's β sum rule
Authors:J Bijtebier
Institution:faculte des Sciences, Université Libre de Bruxelles, Germany
Abstract:We try to check Adler's β sum rule for q2 = μ2. The integral of β can be divided into two parts: a first part which, if q2 = μ2, involves only an integral of the experimental πN cross section, and a second one which is a priori of order μ2 compared to the first. This second term can be approximated by an explicit calculation of the N32321 contribution in the framework of Adler's model for the νN → μN1 reactions. The sum rule is not too well balanced and different hypotheses are presented to explain the defect.
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