Checking the Burkardt sum rule for the Sivers function by model calculations

2006/01/31 by K. Goeke, Stephan Meißner, S. Meissner +4
Physics and Astronomy · #Diquark #Economics #Function (biology) #High-Energy Particle Collisions Research #Momentum (technical analysis) #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Sum rule in quantum mechanics #Transverse plane #hep-ph

paper · pdf · doi:10.1016/j.physletb.2006.05.004

published as Phys.Lett.B637:241-244,2006 · final version, to appear in Phys. Lett. B

arxiv created 2006/05/08 · openalex publication_date 2006/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The Sivers mechanism gives rise to a non-zero average transverse momentum of partons inside a transversely polarized target. According to a sum rule of Burkardt this transverse momentum vanishes when summing over all partons. We explicitly check the Burkardt sum rule by means of one-loop calculations for a quark target in perturbative QCD and for a diquark spectator model of the nucleon. In both cases the sum rule is fulfilled.

Citations

• Transverse-momentum dependent parton distributions in large-Nc QCD
• Fragmentation of transversely polarized quarks probed in transverse momentum distributions
• Parton distribution and decay functions
• Sivers mechanism for gluons
• Quark correlations and single spin asymmetries
• Transverse single spin asymmetries in photon production
• Single-transverse-spin asymmetries: From deep inelastic scattering to hadronic collisions
• Single-spin production asymmetries from the hard scattering of pointlike constituents