Transverse quark spin effects and the flavor dependence of the Boer-Mulders function

Leonard P. Gamberg, Gary R. Goldstein, Marc Schlegel

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128 Scopus citations


The naive time-reversal-odd ("T-odd") parton distribution h1, the so-called Boer-Mulders function, for both up (u) and down (d) quarks is considered in the diquark spectator model. While the results of different articles in the literature suggest that the signs of the Boer-Mulders function in semi-inclusive deep inelastic scattering (SIDIS) for both flavors u and d are the same and negative, a previous calculation in the diquark spectator model found that h1 (u) and h1 (d) have different signs. The flavor dependence is of significance for the analysis of the azimuthal cos (2) asymmetries in unpolarized SIDIS and Drell-Yan processes, as well as for the overall physical understanding of the distribution of transversely polarized quarks in unpolarized nucleons. We find substantial differences with previous work. In particular, we obtain half and first moments of the Boer-Mulders function that are negative over the full range in Bjorken x for both the u and d quarks. In conjunction with the Collins function, we then predict the cos (2) azimuthal asymmetry for π+ and π- in this framework. We also find that the Sivers u and d quarks are negative and positive, respectively. As a by-product of the formalism, we calculate the chiral-odd but "T-even" function h1L which allows us to present a prediction for the single-spin asymmetry AULsin (2) for a longitudinally polarized target in SIDIS.

Original languageEnglish (US)
Article number094016
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number9
StatePublished - May 21 2008

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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