English

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

High Energy Physics - Phenomenology 2016-08-14 v1 Nuclear Theory

Abstract

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 Δ(1232)\Delta(1232) intermediate states and relativistic corrections. (2 figures available upon request).

Keywords

Cite

@article{arxiv.hep-ph/9212257,
  title  = {Small Momentum Evolution of the Extended Drell--Hearn--Gerasimov Sum Rule},
  author = {Véronique Bernard and Norbert Kaiser and Ulf-G. Meißner},
  journal= {arXiv preprint arXiv:hep-ph/9212257},
  year   = {2016}
}

Comments

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