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

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

doi:10.1103/PhysRevD.77.094016

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

Journal Article · Wed May 21 00:00:00 EDT 2008 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.77.094016· OSTI ID:2588236

Gamberg, Leonard P. ^[1]; Goldstein, Gary R. ^[2]; Schlegel, Marc ^[3]

Penn State Berks, Reading, PA (United States)
Tufts University, Medford, MA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

The naive time-reversal-odd (“𝑇-odd”) parton distribution ℎ$$^{⊥}_{1}$$, 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 ℎ$$^{⊥}_{1}$$⁡^(𝑢) and ℎ$$^{⊥}_{1}$$^⁡(𝑑) have different signs. The flavor dependence is of significance for the analysis of the azimuthal cos (2⁢𝜙) 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⁢𝜙) azimuthal asymmetry for 𝜋⁺ and 𝜋⁻ in this framework. Here, 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 ℎ$$^{⊥}_{1L}$$, which allows us to present a prediction for the single-spin asymmetry 𝐴$$^{sin}_{𝑈⁢𝐿}$$^(2⁢𝜙) for a longitudinally polarized target in SIDIS.

View Accepted Manuscript (DOE)

Research Organization:: The Pennsylvania State University, University Park, PA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-06OR23177; FG02-07ER41460; FG02-92ER40702

OSTI ID:: 2588236

Alternate ID(s):: OSTI ID: 21250122

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 9 Vol. 77; ISSN 1550-2368; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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