Small momentum evolution of the extended Drell-Hearn-Gerasimov sum rule

Journal Article · Fri Oct 01 04:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.3062· OSTI ID:6026015

Bernard, V ^[1]; Kaiser, N ^[2]; Meissner, U ^[3]

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1. Centre de Recherches Nucleaires et Universite Louis Pasteur de Strasbourg, Physique Theorique, Bat 40A, BP 20 Cr, 67037 Strasbourg Cedex 2 (France)
2. Physik Department T30, Technische Universitaet Muenchen, James Franck Strasse, D-8046 Garching (Germany)
3. Universitaet Bern, Institut fuer Theoretische Physik, Sidlerstrasse 5, CH-3012 Bern (Switzerland)

We investigate the momentum dependence of the extended Drell-Hearn-Gerasimov (DHG) sum rule. An economical formalism is developed which allows one to express the extended DHG sum rule in terms of a single virtual Compton amplitude in the 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. We also discuss the limitations of our approach.

• OSTI ID: 6026015
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 48:7; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662130 -- General Theory of Particles & Fields-- S-Matrix Theory
Relativistic Scattering Theory-- (1992-)
662330* -- Photon & Charged-Lepton Interactions with Hadrons-- (1992)
662410 -- Properties of Baryons & Baryon Resonances-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
CHIRAL SYMMETRY
DELTA BARYONS
DELTA-1232 BARYONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
HADRONS
N BARYONS
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SUM RULES
SYMMETRY
WARD IDENTITY