Small Momentum Evolution of the Extended Drell--Hearn--Gerasimov Sum Rule

Details Small Momentum Evolution of the Extended Drell--Hearn--Gerasimov Sum Rule Small Momentum Evolution of the Extended Drell--Hearn--Gerasimov Sum Rule

1992-12-14

arxiv.org/abs/hep-ph/9212257v1

Phys.Rev. D48 (1993) 3062-3069

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, TeX, BUTP-92/51 and CRN-92-53

Scientific paper

10.1103/PhysRevD.48.3062

We investigate the momentum dependence of the extended Drell-Hearn-Gerasimov sum rule. An economical formalism is developed which allows to express the extended DHG sum rule in terms of a single virtual Compton amplitude in forward direction. Rigorous results for the small momentum evolution are derived from chiral perturbation theory within the one-loop approximation. Furthermore, we evaluate some higher order contributions arising from $\Delta(1232)$ intermediate states and relativistic corrections. (2 figures available upon request).

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