Generalized parton distributions in spin-3/2 particles
Dongyan Fu, Bao-Dong Sun, Yubing Dong
TL;DR
This paper introduces the first definition of generalized parton distribution functions for spin-3/2 particles, deriving their properties, sum rules, and relations to form factors and helicity amplitudes.
Contribution
It provides the first formulation of GPDs for spin-3/2 particles, including explicit expressions, sum rules, and connections to physical observables.
Findings
Eight unpolarized GPDs identified
Eight polarized GPDs identified
Sum rules linking GPDs with form factors derived
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.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research