GPD sum rules: a tool to reveal the quark angular momentum
K. Kumericki, D. Mueller, and K. Passek-Kumericki
TL;DR
This paper introduces GPD sum rules derived from Lorentz covariance and analyticity to connect experimental data with the quark angular momentum, providing a new phenomenological tool.
Contribution
It develops a family of GPD sum rules that link deeply virtual exclusive electroproduction data to quark angular momentum insights.
Findings
Constraints on GPD E from JLAB/Hall A data
First Mellin moment relates to quark angular momentum
Guides phenomenological understanding of GPDs
Abstract
In deeply virtual exclusive electroproduction to leading order accuracy one accesses generalized parton distributions on their cross-over trajectory. Combining Lorentz covariance and analyticity leads to a family of GPD sum rules, guiding us to phenomenological concepts. As an example, we discuss the constraints from the JLAB/Hall A data on the GPD . Its first Mellin moment is the anomalous gravitomagnetic moment, which is the unknown contribution to the quark angular momentum.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research