Electromagnetic Properties for Arbitrary Spin Particles: Part 2 $-$ Natural Moments and Transverse Charge Densities

Abstract

In a set of two papers, we propose to study an old-standing problem, namely the electromagnetic interaction for particles of arbitrary spin. Based on the assumption that light-cone helicity at tree level and $Q^2=0$ should be conserved non-trivially by the electromagnetic interaction, we are able to derive \emph{all} the natural electromagnetic moments for a pointlike particle of \emph{any} spin. In this second paper, we give explicit expressions for the light-cone helicity amplitudes in terms of covariant vertex functions, leading to the natural electromagnetic moments at $Q^2=0$. As an application of our results, we generalize the discussion of quark transverse charge densities to particles with arbitrary spin.

12 pages, 1 table

References in corpus (11)

• Electromagnetic excitation of the Delta(1232)-resonance
• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• Graviton Physics
• Delta-baryon electromagnetic form factors in lattice QCD
• Quark transverse charge densities in the $\Delta (1232)$ from lattice QCD
• First study of the radiation-amplitude zero in Wgamma production and limits on anomalous WWgamma couplings at sqrt(s)=1.96 TeV
• Spin 3/2 Beyond the Rarita-Schwinger Framework
• Empirical transverse charge densities in the deuteron
• Factorization in Graviton Scattering and the "Natural" Value of the g-factor
• Zgamma production and limits on anomalous ZZgamma and Zgammagamma couplings in ppbar collisions at sqrt(s) = 1.96 TeV
• Electromagnetic Transition Form Factors of Nucleon Resonances

Cited by in corpus (30)

• The proton charge radius
• Charge Distributions of Moving Nucleons
• Higher-Spin Fermionic Gauge Fields and Their Electromagnetic Coupling
• Covariant multipole expansion of local currents for massive states of any spin
• On the Double Copy for Spinning Matter
• The nucleon and Delta(1232) form factors at low momentum-transfer and small pion masses
• The relativistic center of mass in field theory with spin
• Transition form factors: ${\gamma }^{\ast }+p\to \Delta (1232)$, $\Delta (1600)$
• Form Factors and Generalized Parton Distributions of Heavy Quarkonia in Basis Light Front Quantization
• Light-front interpretation of Proton Generalized Polarizabilities
• Poincaré constraints on the gravitational form factors for massive states with arbitrary spin
• Form Factors and Generalized Parton Distributions in Basis Light-Front Quantization
• The magnetic moment of the ρ-meson
• Nucleon relativistic polarization and magnetization distributions
• The shape of the $\Delta$ baryon in a covariant spectator quark model
• On the deuteron relativistic charge distributions
• Bosonic and fermionic Weinberg-Joos (j,0)+ (0,j) states of arbitrary spins as Lorentz-tensors or tensor-spinors and second order theory
• Compton scattering off elementary spin 3/2 particles
• On the form factors of $d^{\ast }(2380)$
• Covariant basis induced by parity for the $(j,0)\oplus (0,j)$ representation
• Electromagnetic multipole moments of elementary spin-1/2, 1, and 3/2 particles
• Magnetic dipole moment of the light tensor mesons in light cone QCD sum rules
• Holographic Constraints on a Vector Boson
• Aspects of Higher-Spin Theory with Fermions
• Proton Compton scattering in a unified proton-Delta Model
• Compton scattering off massive fundamental bosons of pure spin 1
• 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
• Second order theory of $(j,0)\oplus (0,j)$ single high spins as Lorentz tensors
• Covariant form factors for spin-1 particles
• Light-front transverse charge densities