Hunting the Gluon Orbital Angular Momentum at the Electron-Ion Collider

Abstract

Applying the connection between the parton Wigner distribution and orbital angular momentum (OAM), we investigate the probe of the gluon OAM in hard scattering processes at the planned electron-ion collider. We show that the single longitudinal target-spin asymmetry in the hard diffractive dijet production is very sensitive to the gluon OAM distribution. The associated spin asymmetry leads to a characteristic azimuthal angular correlation of $\sin ({\varphi }_q-{\varphi }_{\Delta })$, where ${\varphi }_{\Delta }$ and ${\varphi }_q$ are the azimuthal angles of the proton momentum transfer and the relative transverse momentum between the quark-antiquark pair. This study will enable a first measurement of the gluon OAM in the proton spin sum rule.

8 pages, 2 figures

References in corpus (6)

• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• A first unbiased global determination of polarized PDFs and their uncertainties
• Evidence for polarization of gluons in the proton
• Generalized parton correlation functions for a spin-1/2 hadron
• Quark Wigner Distributions and Orbital Angular Momentum
• Evidence for the Absence of Gluon Orbital Angular Momentum in the Nucleon

Cited by in corpus (33)

• Large-Momentum Effective Theory
• The Spin Structure of the Nucleon
• Gluon orbital angular momentum at small-$x$
• Twisted magnon as a magnetic tweezer
• The Present and Future of QCD
• Twisted Magnon Frequency Comb and Penrose Superradiance
• Probing the Weizsäcker-Williams gluon Wigner distribution in pp collisions
• Proton Spin Structure at Small-$x$
• Exclusive production of a pair of high transverse momentum photons in pion-nucleon collisions for extracting generalized parton distributions
• Transverse spin effects in hard semi-inclusive collisions
• Signature of the gluon orbital angular momentum
• Semi-inclusive Diffractive Deep Inelastic Scattering at Small-$x$
• $\rho$ meson unpolarized generalized parton distributions with a light-front constituent quark model
• Towards a complete next-to-logarithmic description of forward exclusive diffractive dijet electroproduction at HERA: real corrections
• Wigner Distributions For Gluons
• QCD Resummation in Hard Diffractive Dijet Production at the Electron-Ion Collider
• Prospects for quarkonium studies at the high-luminosity LHC
• Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space
• Quark Wigner Distributions and GTMDs of Pion in the Light-Front Holographic Model
• Small-x Evolution of the Gluon Generalized Parton Distribution Eg of the Nucleon
• On the small-$x$ behavior of the orbital angular momentum distributions in QCD
• Wigner distributions for an electron
• GTMDs and the factorization of exclusive double Drell-Yan
• Quark generalized TMDs at skewness and Wigner Distribution in boost invariant longitudinal space
• QCD evolution of the orbital angular momentum of quarks and gluons: Genuine twist-three part
• Proton spin after 30 years: what we know and what we don't?
• Spin-flip gluon GTMD $F_{1,2}$ at small-$x$
• Wigner distributions and GTMDs in a proton using light-front quark-diquark model
• Gluon generalized transverse momentum dependent parton distributions and Wigner functions of the Proton
• Small-$x$ evolution of dipole amplitude in momentum space: forward--off-forward correspondence
• Transverse distortion and single-spin asymmetries for low-lying octet baryons
• T-odd Wigner Distributions in boost-invariant longitudinal position space and Spin-momentum correlation in proton
• Orbital Angular Momentum Distribution of Gluons at Small-$x$ : Analytic interpolation between Ji and Jaffe-Manohar