Spatial distribution of angular momentum inside the nucleon
arXiv:1704.08557 · doi:10.1016/j.physletb.2017.11.018
Abstract
We discuss in detail the spatial distribution of angular momentum inside the nucleon. We show that the discrepancies between different definitions originate from terms that integrate to zero. Even though these terms can safely be dropped at the integrated level, they have to be taken into account at the density level. Using the scalar diquark model, we illustrate our results and, for the first time, check explicitly that the equivalence between kinetic and canonical orbital angular momentum persists at the density level, as expected in a system without gauge degrees of freedom.
References in corpus (30)
- Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
- Quantum Chromodynamics and Other Field Theories on the Light Cone
- Generalized Parton Distributions
- Transverse and longitudinal angular momenta of light
- Impact Parameter Dependent Parton Distributions and Off-Forward Parton Distributions for
- Impact Parameter Space Interpretation for Generalized Parton Distributions
- Axial structure of the nucleon
- Generalized parton distributions and strong forces inside nucleons and nuclei
- The angular momentum controversy: What's it all about and does it matter?
- The chiral representation of the scattering amplitude and the pion-nucleon sigma term
- Light-Cone Wavefunction Representation of Deeply Virtual Compton Scattering
- High-precision determination of the pion-nucleon -term from Roy-Steiner equations
- Quark Wigner Distributions and Orbital Angular Momentum
- The quark orbital angular momentum from Wigner distributions and light-cone wave functions
- Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
- The nucleon form-factors of the energy momentum tensor in the Skyrme model
- Sivers Asymmetry and Generalized Parton Distributions in Impact Parameter Space
- A critique of the angular momentum sum rules and a new angular momentum sum rule
- Is gauge-invariant complete decomposition of the nucleon spin possible ?
- Twist-2 Generalized TMDs and the Spin/Orbital Structure of the Nucleon
- Geometrical approach to the proton spin decomposition
- Angular Momentum Decomposition for an Electron
- The light-front gauge-invariant energy-momentum tensor
- The Parton Orbital Angular Momentum: Status and Prospects
- On "dual" parametrizations of generalized parton distributions
- Where do we stand with a 3-D picture of the proton?
- Gauge symmetry and background independence: Should the proton spin decomposition be path independent?
- Charge and magnetization densities in transverse coordinate and impact parameter space
- Angular Momentum Distribution in the Transverse Plane
- High energy nuclear interactions and QCD: an introduction
Cited by in corpus (60)
- Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
- Revisiting the mechanical properties of the nucleon
- On the hadron mass decomposition
- The Spin Structure of the Nucleon
- Gluon gravitational structure of hadrons of different spin
- Revisiting the proton mass decomposition
- Charge Distributions of Moving Nucleons
- Gravitational form factors of light mesons
- Covariant multipole expansion of local currents for massive states of any spin
- Phenomenological assessment of proton mechanical properties from deeply virtual Compton scattering
- Gravitational form factors of a spin one particle
- Forces inside the nucleon on the light front from 3D Breit frame force distributions: Abel tomography case
- Energy momentum tensor and the D-term in the bag model
- The energy-momentum tensor of spin-1 hadrons: formalism
- The relativistic center of mass in field theory with spin
- Gravitational form factors of a baryon with spin-3/2
- New explicit expressions for Dirac bilinears
- Chiral theory of nucleons and pions in the presence of an external gravitational field
- Effects of long-range forces on the D-term and the energy-momentum structure
- Angular momentum and generalized parton distributions for the proton with basis light-front quantization
- The dynamic origins of fermionic D-terms
- The gravitational form factor D(t) of the electron
- Gravitational form factors of the baryon octet with flavor SU(3) symmetry breaking
- Gravitational form factors of meson with a light-cone constituent quark model
- Gravitational form factors and angular momentum densities in light-front quark-diquark model
- Poincaré constraints on the gravitational form factors for massive states with arbitrary spin
- An introductory lecture on Generalised Parton Distributions
- 2D energy-momentum tensor distributions of nucleon in a large- quark model from ultra-relativistic to non-relativistic limit
- Nucleon relativistic polarization and magnetization distributions
- Relativistic spin sum rules and the role of the pivot
- Universality of the Poincaré gravitational form factor constraints
- On the deuteron relativistic charge distributions
- Monopole and quadrupole contributions to the angular momentum density
- The gravitational form factors of the electron in quantum electrodynamics
- Mechanical structure of a spin-1 particle
- Transverse charge distributions of the nucleon and their Abel images
- QCD angular momentum in transitions
- Dispersive Determination of Nucleon Gravitational Form Factors
- Partonic angular momentum in the nucleon's chiral periphery
- Flavor structure of the energy-momentum tensor form factors of the proton
- Exploring Baryon Resonances with Transition Generalized Parton Distributions: Status and Perspectives
- Light-Front Transverse Momentum Distributions for =1/2 Hadronic Systems in Valence Approximation
- Spin-orbit correlation and spatial distributions for spin-0 hadrons
- Relativistic energy-momentum tensor distributions in a polarized nucleon
- Two-dimensional charge distributions of the baryon: Interpolation between the nonrelativistic and ultrarelativistic limit
- A still unsettled issue in the nucleon spin decomposition problem : On the role of surface terms and gluon topology
- Medium modification of the nucleon mechanical properties: Abel tomography case
- Gravitational form factors of pions, kaons and nucleons from dispersion relations
- Potential linear and angular momentum in the scalar diquark model
- Mapping the transverse spin sum rule in position space
- Exploration of trace anomaly contribution to proton mass based on light vector meson photoproduction
- Analytic constraints on the energy-momentum tensor in conformal field theories
- Energy, angular momentum and pressure force distributions inside nucleons
- Mass sum rules of the electron in quantum electrodynamics
- Energy-momentum tensor in QCD: nucleon mass decomposition and mechanical equilibrium
- Transverse distortion and single-spin asymmetries for low-lying octet baryons
- Energy-momentum tensor densities in the bag model
- Energy-momentum tensor form factors and spin density distribution in the nucleon calculated in a quantized Skyrme model with vector mesons
- Energy-momentum tensor of the nucleon on the light front: Abel tomography case
- Transverse energy-momentum tensor distributions in polarized nucleons