The deuteron spin dependent structure function g2(x) in a relativistic model

The spin dependent deuteron structure functions g1D(x) and g2D(x) are investigated in a relativistic model of the deuteron. It is shown that due to relativistic effects g2D(x) has a nontrivial contribution determined by the first derivative of the nucleon structure function g1(x). Such a contribution is small but it increases when x → 1. It may achieve about 10% at x ∼ 0.75 and could be larger for the transverse structure function g⊥D(x).