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The elastic contribution to the Burkhardt -- Cottingham and Generalized Gerasimov--Drell-Hearn Sum Rules

I. V. Musatov·O. V. Teryaev·A. Schäfer
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Abstract

The elastic contribution to the first moment of $g_2(x,Q^2)$ is analysed using a Drell-Yan-West type of relation and is shown to be negative. For a qualitative estimate the one-loop contributions to the polarized DIS sum rules in QED are studied. The behaviour of the generalized Gerasimov-Drell-Hearn sum rule is sensitive to infrared regularization. With a lower threshold for the gluon virtuality the relation of the generalized GDH sum rule to the Burkhardt-Cottingham sum rule is studied. We conclude that the elastic part has to be included for long range interactions but can be consistently discarded for short range interactions.

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I. V. Musatov, O. V. Teryaev, A. Schäfer. 1997-10-07. The elastic contribution to the Burkhardt -- Cottingham and Generalized Gerasimov--Drell-Hearn Sum Rules. https://doi.org/10.1103/physrevd.57.7041

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