A Derivative of the Gerasimov-Drell-Hearn Sum Rule

Details A Derivative of the Gerasimov-Drell-Hearn Sum Rule A Derivative of the Gerasimov-Drell-Hearn Sum Rule

2004-07-27

arxiv.org/abs/hep-ph/0407313v3

Phys.Lett. B600 (2004) 239-247

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 5 figures, minor corrections, published version

Scientific paper

10.1016/j.physletb.2004.09.006

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.

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