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

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.

final version, to appear in Phys. Lett. B

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Cited by in corpus (31)

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• Transverse-momentum distributions in a diquark spectator model
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• Transverse Quark Spin Effects and the Flavor Dependence of the Boer-Mulders Function
• Transverse-momentum-dependent gluon distribution functions in a spectator model
• A quark model analysis of the Sivers function
• Light-cone divergence in twist-3 correlation functions
• Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods
• Weighted azimuthal asymmetries in a diquark spectator model
• Constraints on the gluon Sivers distribution via transverse single spin asymmetries at midrapidity in p(transv. polarized) p -> pi^0 X processes at BNL RHIC
• Modelling the nucleon structure
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• Machine learning-based jet and event classification at the Electron-Ion Collider with applications to hadron structure and spin physics
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• Transverse momentum moments
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• A note on the scale dependence of the Burkardt sum rule
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• Generalized Parton Distributions of Pions. Spin Structure of Hadrons
• Extraction of finite-energy contributions to the Sivers asymmetry from the analysis of exclusive proton-proton scattering