Recent COMPASS results on the polarized structure function $g_{1}^{d}$ of the deuteron

The study of the spin dependent structure functions of the deuteron is part of a broad physics program addressed by the COMPASS collaboration at CERN. The longitudinal spin asymmetry $A^{d}_{1}$ is evaluated from data on inelastic scattering of longitudinally polarised muons off a large $^{6}$LiD polarised target. Recent results on $g^{d}_{1}$ both for low and high Q$^{2}$ are presented. The obtained values for the first moment $\Gamma^{d}_{1}$ and the flavor-singlet axial current $a_{0}$ are also shown.