Abstract
We calculate the cos2ϕ azimuthal asymmetry of the unpolarized \(p\bar{p}\) dilepton production process in the Z-resonance region at the Tevatron kinematic domain. Compared to the pp process, such an azimuthal asymmetry can provide additional information about a spin-related three-dimensional parton distribution function of the proton, the Boer–Mulders function. It plays a significant role in separating the contributions of the valence quarks and of the sea quarks. Besides, the Z production process is much different from the virtual photon mediate Drell–Yan process as well as the J/ψ and ϒ production processes. Our estimation indicates that this asymmetry is sizable to be detected. Therefore the available data of unpolarized proton–antiproton collision at Tevatron can contribute to our study on the spin-related structure of the nucleon.
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