Signature of the gluon orbital angular momentum

Abstract

We propose a novel observable for the experimental detection of the gluon orbital angular momentum (OAM) that constitutes the proton spin sum rule. We consider longitudinal double spin asymmetry in exclusive dijet production in electron-proton scattering and demonstrate that the $\cos \varphi$ azimuthal angle correlation between the scattered electron and proton is a sensitive probe of the gluon OAM at small-$x$ and its interplay with the gluon helicity. We also present a numerical estimate of the cross section for the kinematics of the Electron-Ion Collider.

Version accepted for publication in Physical Review Letters

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• Quark generalized TMDs at skewness and Wigner Distribution in boost invariant longitudinal space
• Spin-flip gluon GTMD $F_{1,2}$ at small-$x$
• Gluon generalized transverse momentum dependent parton distributions and Wigner functions of the Proton
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Energy-momentum tensor form factors and spin density distribution in the nucleon calculated in a quantized Skyrme model with vector mesons
• Proton spin from small-$x$ with constraints from the valence quark model
• T-odd Wigner Distributions in boost-invariant longitudinal position space and Spin-momentum correlation in proton