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

Abstract

We show that the spin (1/2-) particle from the (1/2,1)+(1,1/2) Lorentz irreducible sector of the four-vector spinor can not be described within a linear formalism but behaves as a genuinely quadratic fermion satisfying the generalized Feynman-Gell-Mann equation with a gyromagnetic factor of (-2/3). In contrast, spin (1/2 +) from the (1/2,0)+(0,1/2) sector is confirmed as a genuine linear Dirac fermion whose gyromagnetic factor takes the value of two units.We calculate Compton scatterings off each one of the two targets and obtain both times well behaved cross sections in the ultra relativistic limit and in accord with unitarity.

arXiv comment29 pages, 2 tables, 8 figures

References in corpus (10)

• Second Order Fermions in Gauge Theories
• Spin 3/2 Beyond the Rarita-Schwinger Framework
• Electromagnetic Properties for Arbitrary Spin Particles: Part 2 $-$ Natural Moments and Transverse Charge Densities
• Spacetime structure of massive gravitino
• Bosonic and fermionic Weinberg-Joos (j,0)+ (0,j) states of arbitrary spins as Lorentz-tensors or tensor-spinors and second order theory
• The Ostrogradskian Instability of Lagrangians with Nonlocality of Finite Extent
• Compton scattering off elementary spin 3/2 particles
• Electromagnetic multipole moments of elementary spin-1/2, 1, and 3/2 particles
• Second order formalism for spin 1/2 fermions and Compton scattering
• QED in the worldline representation

Cited by in corpus (3)

• Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes
• Problems and Progress in Covariant High Spin Description
• Second order differential equations for bosons with spin j > 1 and in the bases of general tensor-spinors of rank-2j