Pretzelosity TMD and Quark Orbital Angular Momentum

Abstract

We study the connection between the quark orbital angular momentum and the pretzelosity transverse-momentum dependent parton distribution function. We discuss the origin of this relation in quark models, identifying as key ingredient for its validity the assumption of spherical symmetry for the nucleon in its rest frame. Finally we show that the individual quark contributions to the orbital angular momentum obtained from this relation can not be interpreted as the intrinsic contributions, but include the contribution from the transverse centre of momentum which cancels out only in the total orbital angular momentum.

8 pages; references added, version to appear in Phys. Lett. B

References in corpus (7)

• Quark Wigner Distributions and Orbital Angular Momentum
• The quark orbital angular momentum from Wigner distributions and light-cone wave functions
• The transverse momentum dependent distribution functions in the bag model
• Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon
• Pretzelosity $h_{1T}^{\perp }$ and quark orbital angular momentum
• On the Origin of Model Relations among Transverse-Momentum Dependent Parton Distributions
• Densities, Parton Distributions, and Measuring the Non-Spherical Shape of the Nucleon

Cited by in corpus (27)

• The angular momentum controversy: What's it all about and does it matter?
• The proton charge radius
• Geometrical approach to the proton spin decomposition
• Semi-Inclusive Deep Inelastic Scattering in Wandzura-Wilczek-type approximation
• The light-front gauge-invariant energy-momentum tensor
• A Fixed-Target Programme at the LHC: Physics Case and Projected Performances for Heavy-Ion, Hadron, Spin and Astroparticle Studies
• The Parton Orbital Angular Momentum: Status and Prospects
• The relativistic center of mass in field theory with spin
• Extraction of the distribution function $h_{1T}^{\perp }$ from experimental data
• Multipole decomposition of the nucleon transverse phase space
• Structure of the nucleon at leading and subleading twist in the covariant parton model
• Nucleon relativistic polarization and magnetization distributions
• Relativistic spin sum rules and the role of the pivot
• Transverse single-spin asymmetries of pion production in semi-inclusive DIS at subleading twist
• Measurement of pretzelosity asymmetry of charged pion production in Semi-Inclusive Deep Inelastic Scattering on a polarized ${}^3$He target
• On the deuteron relativistic charge distributions
• Orbital Angular Momentum and Generalized Transverse Momentum Distribution
• Octet Spin Fractions and the Proton Spin Problem
• Angular momentum decomposition from a QED example
• Double Spin Asymmetries $A_{LT}^{\cos {\varphi }_S}$ and $A_{LT}^{\cos (2{\varphi }_h-{\varphi }_S)}$ in semi-inclusive DIS
• Transverse Momentum and Transverse Momentum Distributions in the MIT Bag Model
• Quark angular momentum in a spectator model
• Wigner distributions and quark orbital angular momentum
• Weighted $\sin \left(3{\varphi }_h-{\varphi }_S\right)$ asymmetry from pretzelosity in SIDIS at electron ion colliders
• Quark and gluon orbital angular momentum: Where are we?
• Relations between generalized parton distributions and transverse momentum dependent parton distributions
• Spin structure of the nucleon on the light front