The $\sin 2\varphi$ azimuthal asymmetry in single longitudinally polarized $\pi N$ Drell-Yan process

Abstract

We study the $\sin 2\varphi$ azimuthal asymmetry in the $\pi N$ Drell-Yan process, when the nucleon is longitudinally polarized. The asymmetry is contributed by the combination of the Boer-Mulders function and the longitudinal transversity distribution function. We consider the Drell-Yan processes by ${\pi }^{\pm }$ beams colliding on the proton and deuteron targets, respectively. We calculate the $\sin 2\varphi$ azimuthal asymmetries in these processes using the Boer-Mulders function and the longitudinal transversity from spectator models. We show that the study on single polarized $\pi N$ Drell-Yan processes can not only give the information on the new 3-dimensional parton distribution functions in momentum space, but also shed light on the chiral-odd structure of the longitudinally polarized nucleon.

7 pages, 3 figures. Final version for publication in PRD

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Cited by in corpus (5)

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• Generalized form factors of the nucleon in a light-cone spectator-diquark model
• Three-dimensional parton distribution functions $g_{1T}$ and $h_{1L}^{\perp }$ in the polarized proton-antiproton Drell-Yan process
• The $\sin 2{\varphi }_h$ azimuthal asymmetry of pion production in SIDIS within TMD factorization
• T-odd proton-helicity asymmetry in semi-inclusive DIS in perturbative QCD