Compton scattering off elementary spin 3/2 particles

Abstract

We calculate Compton scattering off an elementary spin 3/2 particle in a recently proposed framework for the description of elementary high spin fields based on the projection onto eigen-subspaces 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^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.

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Cited by in corpus (9)

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• Renormalization of the QED of second order spin 1/2 fermions
• Second order formalism for spin 1/2 fermions and Compton scattering
• Electromagnetic multipole moments of elementary spin-1/2, 1, and 3/2 particles
• Non-Abelian Carroll-Field-Jackiw term term in a Rarita-Schwinger model
• Electromagnetic properties of spin-3/2 Majorana particles
• Gyromagnetic g_s factors of the spin-1/2 particles in the (1/2+,1/2-,3/2-) triad of the four-vector spinor, ψ_μ, irreducibility, and linearity
• On the photon mass generation in Rarita-Schwinger QED
• Renormalization of a model for spin-1 matter fields