2000/03/07 by S. Kondratyuk, O. Scholten · 24 citations
Physics and Astronomy · #Causality (physics) #Compton scattering #Dispersion relation #Formalism (music) #Particle physics theoretical and experimental studies #Pion #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Scattering amplitude #Unitarity #Unitary state #nucl-th
paper · pdf · open access · doi:10.1016/s0375-9474(00)00307-9
published in Nuclear Physics A 677(1-4), 396-422 (Elsevier BV) · 25 pages, 9 ps-figures
arxiv created 2000/03/07 · openalex publication_date 2000/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Pion-loop corrections for Compton scattering are calculated in a novel approach based on the use of dispersion relations in a formalism obeying unitarity. The basic framework is presented, including an application to Compton scattering. In the approach the effects of the non-pole contribution arising from pion dressing are expressed in terms of (half-off-shell) form factors and the nucleon self-energy. These quantities are constructed through the application of dispersion integrals to the pole contribution of loop diagrams, the same as those included in the calculation of the amplitudes through a K-matrix formalism. The prescription of minimal substitution is used to restore gauge invariance. The resulting relativistic-covariant model combines constraints from unitarity, causality, and crossing symmetry.