QCD angular momentum in $N\to \Delta$ transitions

Abstract

$N\to \Delta$ transitions offer new possibilities for exploring the isovector component of the QCD quark angular momentum (AM) operator causing the $J^{u-d}$ flavor asymmetry in the nucleon. We extend the concept of QCD AM to transitions between baryon states, using light-front densities of the energy-momentum tensor in transversely localized states. We calculate the $N\to \Delta$ transition AM in the $1/N_c$ expansion, connect it with the $J^{u-d}$ flavor asymmetry in the nucleon, and estimate the values using lattice QCD results. In the same setup we connect the transition AM to the transition GPDs sampled in hard exclusive electroproduction processes with $N\to \Delta$ transitions, enabling experimental study of the transition AM.

arXiv comment7 pages, 1 figure

References in corpus (31)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Generalized Parton Distributions
• Unraveling hadron structure with generalized parton distributions
• Hard Exclusive Reactions and the Structure of Hadrons
• Impact Parameter Dependent Parton Distributions and Off-Forward Parton Distributions for $\zeta \to 0$
• 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?
• The 1/N Expansion for Baryons
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Baryon-Pion Couplings from Large-N QCD
• Spin-Flavor Structure of Large N Baryons
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• Nucleon Parton Distributions at Low Normalization Point in the Large N_c Limit
• GPD phenomenology and DVCS fitting - Entering the high-precision era
• Generalized Parton Distributions from Lattice QCD
• Off-forward quark distributions of the nucleon in the large N_c limit
• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• The Spin Structure of the Nucleon in the Asymptotic Limit
• Interplay of Spin and Orbital Angular Momentum in the Proton
• Spatial distribution of angular momentum inside the nucleon
• Moments of nucleon generalized parton distributions from lattice QCD simulations at physical pion mass
• Rotational covariance and light-front current matrix elements
• Nucleon generalized form factors from two-flavor lattice QCD
• Electromagnetic and weak current operators for interacting systems within the front-form dynamics
• Chiral dynamics and peripheral transverse densities
• Parametrization of transition energy-momentum tensor form factors
• Transition GPDs and exclusive electroproduction of $\pi -\Delta (1232)$ final states
• Angular Momentum Distribution in the Transverse Plane
• Partonic angular momentum in the nucleon's chiral periphery
• Spin-flavor structure of chiral-odd GPDs in the large-N_c limit

Cited by in corpus (4)

• Exploring Baryon Resonances with Transition Generalized Parton Distributions: Status and Perspectives
• Stress out of charmonia
• Complete definition of $N\to \Delta$ transition generalized parton distributions
• Non-diagonal DVCS and transition GPDs: A unified framework for spinless hadron case ${\gamma }^{\ast }\pi \to \gamma \pi \pi$