The elastic contribution to the Burkhardt -- Cottingham and Generalized Gerasimov--Drell-Hearn Sum Rules
High Energy Physics - Phenomenology
2009-10-30 v1
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.
Keywords
Cite
@article{arxiv.hep-ph/9710261,
title = {The elastic contribution to the Burkhardt -- Cottingham and Generalized Gerasimov--Drell-Hearn Sum Rules},
author = {I. V. Musatov and O. V. Teryaev and A. Schäfer},
journal= {arXiv preprint arXiv:hep-ph/9710261},
year = {2009}
}
Comments
8 pages latex and one figure