Azimuthal asymmetry in unpolarized $πN$ Drell-Yan process

Abstract

Taking into account the effect of final state interaction, we calculate the non-zero (naïve) $T$-odd transverse momentum dependent distribution $h_1^{\perp}(x,\kp^2)$ of the pion in a quark-spectator-antiquark model with effective pion-quark-antiquark coupling as a dipole form factor. Using the model result we estimate the $\cos 2ϕ$ asymmetries in the unpolarized $π^- N$ Drell-Yan process which can be expressed as $h_1^{\perp}\times\bar{h}_1^{\perp}$. We find that the resulting $h_{1π}^\p(x,\kp^2)$ has the advantage to reproduce the asymmetry that agrees with the experimental data measured by NA10 Collaboration. We estimate the $\cos2ϕ$ asymmetries averaged over the kinematics of NA10 experiments for 140, 194 and 286 GeV $π^-$ beam and compare them with relevant experimental data.