The $\sin2φ$ azimuthal asymmetry in single longitudinally polarized $πN$ Drell-Yan process

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1103/PhysRevD.84.034010

We study the $\sin2\phi$ 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 $\sin2\phi$ 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.

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