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Low-energy theorems for Compton scattering up to order e/sup 4/. [Scattering amplitudes dispersion relations]

Abstract

Taking the Compton scattering of pions and deuterons as an example it is shown that low-energy theorems which are valid for the order e/sup 2/ are also valid for the next higher order of electromagnetic interactions. The imaginary component of the scattering amplitude was exactly calculated for the energy of incident photons in the order e/sup 4/ up to the desired one, whereas the real component was obtained from dispersion relations. It is proved that the results derived from the dispersion theory of strong interactions are equivalent to those obtained from quantum electrodynamics for spin 0 and spin 1, respectively.
Authors:
Publication Date:
Jan 01, 1975
Product Type:
Book
Reference Number:
AIX-07-250385; EDB-76-072990
Resource Relation:
Other Information: Dissertation A (Dr. rer. nat.). Thesis
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PHOTON-DEUTERON INTERACTIONS; COMPTON EFFECT; PHOTON-MESON INTERACTIONS; PIONS; COMPARATIVE EVALUATIONS; DEUTERONS; DISPERSION RELATIONS; FEYNMAN DIAGRAM; LOW-ENERGY THEOREM; NUCLEONS; PHOTONS; POWER SERIES; QUANTUM ELECTRODYNAMICS; S MATRIX; SCATTERING AMPLITUDES; SINGULARITY; SPIN; STRONG INTERACTIONS; AMPLITUDES; ANGULAR MOMENTUM; BARYONS; BASIC INTERACTIONS; BOSONS; CHARGED PARTICLES; DIAGRAMS; ELASTIC SCATTERING; ELECTRODYNAMICS; ELECTROMAGNETIC INTERACTIONS; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; HADRONS; INTERACTIONS; MASSLESS PARTICLES; MATRICES; MESONS; PARTICLE INTERACTIONS; PARTICLE PROPERTIES; PHOTON-HADRON INTERACTIONS; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; SCATTERING; SERIES EXPANSION; 645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties
OSTI ID:
7181494
Country of Origin:
Germany
Language:
German
Submitting Site:
INIS
Size:
Pages: 92
Announcement Date:
May 13, 2001

Citation Formats

Pippig, G. Low-energy theorems for Compton scattering up to order e/sup 4/. [Scattering amplitudes dispersion relations]. Germany: N. p., 1975. Web.
Pippig, G. Low-energy theorems for Compton scattering up to order e/sup 4/. [Scattering amplitudes dispersion relations]. Germany.
Pippig, G. 1975. "Low-energy theorems for Compton scattering up to order e/sup 4/. [Scattering amplitudes dispersion relations]." Germany.
@misc{etde_7181494,
title = {Low-energy theorems for Compton scattering up to order e/sup 4/. [Scattering amplitudes dispersion relations]}
author = {Pippig, G}
abstractNote = {Taking the Compton scattering of pions and deuterons as an example it is shown that low-energy theorems which are valid for the order e/sup 2/ are also valid for the next higher order of electromagnetic interactions. The imaginary component of the scattering amplitude was exactly calculated for the energy of incident photons in the order e/sup 4/ up to the desired one, whereas the real component was obtained from dispersion relations. It is proved that the results derived from the dispersion theory of strong interactions are equivalent to those obtained from quantum electrodynamics for spin 0 and spin 1, respectively.}
place = {Germany}
year = {1975}
month = {Jan}
}