A Derivative of the Gerasimov-Drell-Hearn Sum Rule
High Energy Physics - Phenomenology
2014-11-17 v3 High Energy Physics - Theory
Nuclear Theory
Abstract
We derive a sum rule which establishes a linear relation between a particle's anomalous magnetic moment and a quantity connected to the photoabsorption cross-section. This quantity cannot be measured directly. However, it can be computed within a given theory. As an example, we demonstrate validity of the sum rule in QED at tree level--the renowned Schwinger's correction to the anomalous magnetic moment is readily reproduced. In the case of the strong interactions, we also consider the calculation of the nucleon magnetic moment within chiral theories.
Keywords
Cite
@article{arxiv.hep-ph/0407313,
title = {A Derivative of the Gerasimov-Drell-Hearn Sum Rule},
author = {Vladimir Pascalutsa and Barry R. Holstein and Marc Vanderhaeghen},
journal= {arXiv preprint arXiv:hep-ph/0407313},
year = {2014}
}
Comments
11 pages, 5 figures, minor corrections, published version