We calculate the non-zero Boer-Mulders functions of sea quarks inside the
proton in a meson-baryon fluctuation model. The results show that the
transverse spin effects of sea quarks in an unpolarized nucleon are sizable.
Using the obtained antiquark Boer-Mulders functions, we estimate the cos2ϕ asymmetries in the unpolarized pp and pD Drell-Yan processes at FNAL
E866/NuSea experiments. The prediction for the cos2ϕ asymmetries in the
unpolarized pp Drell-Yan process at the BNL Relativistic Heavy Ion Collider
(RHIC) is also given.Comment: 7 pages, 5 figures, to appear in Physical Review