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Title: Compton scattering off elementary spin (3/2) particles

We calculate Compton scattering off an elementary spin (3/2) particle in a recently proposed framework for the description of high spin fields based on the projection onto eigensubspaces of the Casimir operators of the Poincare group. We also calculate this process in the conventional Rarita-Schwinger formalism. Both formalisms yield the correct Thomson limit but the predictions for the angular distribution and total cross section differ beyond this point. We point out that the average squared amplitudes in the forward direction for Compton scattering off targets with spin s=0, (1/2), 1 are energy independent and have the common value 4e{sup 4}. As a consequence, in the rest frame of the particle the differential cross section for Compton scattering in the forward direction is energy independent and coincides with the classical squared radius. We show that these properties are also satisfied by a spin (3/2) target in the Poincare projector formalism but not by the Rarita-Schwinger spin (3/2) particle.
Authors:
;  [1]
  1. Departamento de Fisica, Division de Ciencias e Ingenierias, Universidad de Guanajuato, Campus Leon, Lomas del Bosque 103, Fraccionamiento Lomas del Campestre, 37150, Leon, Guanajuato (Mexico)
Publication Date:
OSTI Identifier:
21322578
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 80; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.80.054002; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANGULAR DISTRIBUTION; CASIMIR OPERATORS; COMPTON EFFECT; COMPUTERIZED SIMULATION; DIFFERENTIAL CROSS SECTIONS; FORECASTING; PARTICLES; POINCARE GROUPS; SCATTERING; SPIN; TOTAL CROSS SECTIONS