Generalized parton distributions in spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>3</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> particles
Dongyan Fu, Bao-Dong Sun, Yubing Dong
Abstract
Generalized parton distribution functions (GPDs) of spin-$3/2$ particles are defined for the first time in this paper. Eight unpolarized and eight polarized GPDs are found. In the forward limit of GPDs, the structure functions and parton distribution functions are obtained. Then, the sum rules that connect the GPDs with the electromagnetic and gravitational form factors are explicitly displayed. Finally, the relations between GPDs and the helicity amplitudes of the system are derived.
Topics & Concepts
PartonPhysicsHelicitySpin (aerodynamics)Particle physicsDistribution functionDistribution (mathematics)Quantum chromodynamicsQuantum mechanicsThermodynamicsMathematicsMathematical analysisParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical Physics