arXiv:hep-ph/9710261·v1·High Energy Physics — Phenomenology
The elastic contribution to the Burkhardt -- Cottingham and Generalized Gerasimov--Drell-Hearn Sum Rules
I.V. Musatov (Old Dominion University, Norfolk, USA) · O.V. Teryaev · (Bogoliubov Laboratory of Theoretical Physics, Dubna, Russia) · A. Schäfer (Universität Regensburg, Germany)
Abstract
The elastic contribution to the first moment of 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.
Comments: 8 pages latex and one figure