Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions
arXiv:2101.05243 · doi:10.1016/j.nuclphysb.2021.115440
Abstract
We derive a new twist-3 partonic sum rule for the transverse spin of the proton, which involves the well-know quark spin structure function , the less-studied but known transverse gluon polarization density , and quark and gluon canonical orbital angular momentum densities associated with transverse polarization. This is the counter part of the sum rule for the longitudinal spin of the proton derived by Jaffe and Manohar previously. We relate the partonic canonical orbital angular momentum densities to a new class of twist-3 generalized parton distribution functions which are potentially measurable in deep-virtual exclusive processes. We also discuss in detail an important technicality related to the transverse polarization in the infinite momentum frame, i.e., separation of intrinsic contributions from the extrinsic ones. We apply our finding to the transverse-space distributions of partons, angular momentum, and magnetic moment, respectively, in a transversely polarized proton.
arXiv comment1 figure, 49 pages
References in corpus (69)
- Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
- Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
- Generalized Parton Distributions
- Deeply Virtual Compton Scattering
- Unraveling hadron structure with generalized parton distributions
- Factorization for hard exclusive electroproduction of mesons in QCD
- Impact Parameter Space Interpretation for Generalized Parton Distributions
- The Spin Structure of the Nucleon
- Theory of deeply virtual Compton scattering on the nucleon
- The angular momentum controversy: What's it all about and does it matter?
- Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
- Charge Density of the Neutron
- Generalized parton correlation functions for a spin-1/2 hadron
- Parton distributions and lattice QCD calculations: a community white paper
- Quark Wigner Distributions and Orbital Angular Momentum
- Generalized parton distributions with helicity flip
- Notes on the orbital angular momentum of quarks in the nucleon
- The Spin Structure of the Nucleon
- The quark orbital angular momentum from Wigner distributions and light-cone wave functions
- Twist-3 Formalism for Single Transverse Spin Asymmetry Reexamined: Semi-Inclusive Deep Inelastic Scattering
- Transverse Deformation of Parton Distributions and Transversity Decomposition of Angular Momentum
- Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass
- Transverse Charge Densities
- Proton Spin Structure from Measurable Parton Distributions
- Target Mass Corrections for Polarized Structure Functions and New Sum Rules
- Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 target
- Defining the Proton Radius: a Unified Treatment
- Exacting N=4 Superconformal Symmetry
- The Spin Structure of the Nucleon
- On the Twist 2 and Twist 3 Contributions to the Spin-dependent Electroweak Structure Functions
- On Gauge-Invariant Decomposition of Nucleon Spin
- DVCS amplitude in the parton model
- Quark and Gluon Orbital Angular Momentum and Spin in Hard Processes
- A critique of the angular momentum sum rules and a new angular momentum sum rule
- On Orbital Angular Momentum in Deep Inelastic Scattering
- Glue spin and helicity in proton from lattice QCD
- A Lattice Study of Quark and Glue Momenta and Angular Momenta in the Nucleon
- Parton Orbital Angular Momentum and Final State Interactions
- Twist analysis of the nucleon spin in QCD
- Gauge- and frame-independent decomposition of nucleon spin
- Polarized Structure Functions in QCD
- Gluon Spin in the Nucleon
- Physics of Gluon Helicity Contribution to Proton Spin
- Measurement of Dijet Production at Low Q^2 at HERA
- Probing Parton Orbital Angular Momentum in Longitudinally Polarized Nucleon
- Form factor decomposition of generalized parton distributions at leading twist
- Evolution Equations for Higher Moments of Angular Momentum Distributions
- The light-front gauge-invariant energy-momentum tensor
- Transverse Polarization of the Nucleon in Parton Picture
- Extraction of Generalized Parton Distribution Observables from Deeply Virtual Electron Proton Scattering Experiments
- Parton Transverse Momentum and Orbital Angular Momentum Distributions
- Fundamental Properties of the Proton in Light-Front Zero Modes
- The Gauge-Invariant Angular Momentum Sum-Rule for the Proton
- Twist-three relations of gluonic correlators for the transversely polarized nucleon
- Counting Form Factors of Twist-Two Operators
- Twist-3 GPDs in Deeply-Virtual Compton Scattering
- A critical assessment of the angular momentum sum rules
- Proton Electromagnetic Form Factor Ratios at Low Q^2
- Lorentz Invariance and QCD Equation of Motion Relations for Generalized Parton Distributions and the Dynamical Origin of Proton Orbital Angular Momentum
- New relation between transverse angular momentum and generalized parton distributions
- More on the relation between the two physically inequivalent decompositions of the nucleon spin and momentum
- Gauge-independence of gluon spin in the nucleon and its evolution
- Counting and Tensorial Properties of Twist-Two Helicity-Flip Nucleon Form Factors
- Transverse Force Tomography
- Does the Gluon Spin Contribute in A Gauge Invariant Way to Nucleon Spin?
- Transverse spin sum rule of the proton
- Proton spin after 30 years: what we know and what we don't?
- Genuine twist-3 contributions to the generalized parton distributions from instantons
- Reply to arXiv:1211.3957 and arXiv:1211.4731 by Leader et al. and arXiv:1212.0761 by Harindranath et al
Cited by in corpus (14)
- The proton charge radius
- Precision Studies of QCD in the Low Energy Domain of the EIC
- Signature of the gluon orbital angular momentum
- Generalized parton distributions through universal moment parameterization: zero skewness case
- On the definition of electromagnetic local spatial densities for composite spin- systems
- Twist-three cross-sections in deeply virtual Compton scattering
- Twist-3 Generalized Parton Distribution for the Proton from Basis Light-Front Quantization
- Local spatial densities for composite spin-3/2 systems
- Gravitational transverse-momentum distributions
- Electromagnetic and gravitational local spatial densities for spin-1 systems
- Photo-production of near Threshold
- Energy-momentum tensor form factors and spin density distribution in the nucleon calculated in a quantized Skyrme model with vector mesons
- Parton distribution functions and QCD coupling constant from LHC and non-LHC data
- Baryon Form Factors