Partonic angular momentum in the nucleon's chiral periphery

Abstract

We study the nucleon's partonic angular momentum (AM) content at peripheral transverse distances $b=\mathcal{O}(M_{\pi }^{-1})$, where the structure is governed by chiral dynamics. We compute the nucleon form factors of the energy-momentum tensor in chiral effective field theory (ChEFT) and construct the transverse densities of AM at fixed light-front time. In the periphery the spin density is suppressed, and the AM is predominantly orbital. In the first-quantized representation of ChEFT in light-front form, the field-theoretical AM density coincides with the quantum-mechanical orbital AM density of the soft pions in the nucleon's periphery.

arXiv comment6 pages, 2 figures

References in corpus (24)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Chiral Dynamics in Nucleons and Nuclei
• Deeply Virtual Compton Scattering
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Generalized parton distributions and strong forces inside nucleons and nuclei
• The angular momentum controversy: What's it all about and does it matter?
• Skewed and double distributions in pion and nucleon
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• Transverse Deformation of Parton Distributions and Transversity Decomposition of Angular Momentum
• Transverse Charge Densities
• A critique of the angular momentum sum rules and a new angular momentum sum rule
• Spatial distribution of angular momentum inside the nucleon
• The electromagnetic Sigma-to-Lambda hyperon transition form factors at low energies
• Chiral dynamics and the growth of the nucleon's gluonic transverse size at small x
• Chiral dynamics and partonic structure at large transverse distances
• Chiral dynamics and peripheral transverse densities
• Quantifying the nucleon's pion cloud with transverse charge densities
• Nucleon form factors in dispersively improved Chiral Effective Field Theory I: Scalar form factor
• Nucleon form factors in dispersively improved Chiral Effective Field Theory II: Electromagnetic form factors
• Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis
• Light-front representation of chiral dynamics with Delta isobar and large-N_c relations
• Light-front representation of chiral dynamics in peripheral transverse densities
• Angular Momentum Distribution in the Transverse Plane
• Quantum-mechanical picture of peripheral chiral dynamics

Cited by in corpus (9)

• Revisiting the proton mass decomposition
• Effects of long-range forces on the D-term and the energy-momentum structure
• The gravitational form factor D(t) of the electron
• 2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit
• QCD angular momentum in $N\to \Delta$ transitions
• Effect of the pion field on the distributions of pressure and shear in the proton
• Exploring Baryon Resonances with Transition Generalized Parton Distributions: Status and Perspectives
• Transverse charge and current densities in the nucleon from dispersively improved chiral effective field theory
• Exploration of trace anomaly contribution to proton mass based on light vector meson photoproduction