Recent developments in nucleon spin structure with focus on h_{1L}^{\perp} and pretzelosity h_{1T}^\perp
arXiv:0902.0689
Abstract
The leading twist transverse momentum dependent parton distribution functions h_{1L}^{\perp} and h_{1T}^\perp, which is sometimes called "pretzelosity," are studied. For h_{1L}^{\perp} we consider a "Wandzura-Wilczek-type" approximation, which follows from QCD equations of motion upon the neglect of pure twist-3 terms and allows to express it in terms of transversity. On the basis of available data from HERMES we test the practical usefulness of this approximation and discuss how it can be further tested by future CLAS and COMPASS data. We review the theoretical properties of retzelosity and observe an interesting relation valid in a large class of relativistic models: The difference between helicity and transversity distributions, which is often said to be a 'measure of relativistic effects' in the nucleon, is nothing but the transverse moment of pretzelosity. We discuss preliminary deuteron target data from COMPASS on the single spin asymmetry (SSA) in semi-inclusive deep inelastic scattering (SIDIS) related to pretzelosity, and make predictions for future experiments at JLab, COMPASS and HERMES.
12 pages, 12 figure, presented at Advanced Studies Institute -- Symmetries And Spin" (SPIN-Praha-2008), Prague, July 20-26, 2008, to be published Eur.Phys.J, ST, style files included. Dedicated to 65 anniversary of Professor Klaus Goeke
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