Checking the Burkardt sum rule for the Sivers function by model calculations
arXiv:hep-ph/0601133 · doi:10.1016/j.physletb.2006.05.004
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