Nuclear effects in g(1A)(x,Q(2)) at small x in deep inelastic scattering on Li-7 and He-3 - art. no. 014002

We suggest using polarized nuclear targets of Li-7 and He-3 to study nuclea r effects in the spin-dependent structure functions g(1A)(x,Q(2)). These ef fects are expected to be enhanced by a factor of 2 as compared to the unpol arized targets. We predict a significant x dependence at 10(-4)-10(-3)less than or equal to x less than or equal to 0.2 of g(1A)(x,Q(2))/g(1N)(x, Q(2) ) due to nuclear shadowing and nuclear enhancement. The effect of nuclear s hadowing at x approximate to 10(-3) is of an order of 16% for g(1A=7)(n.s. 3/2)(x,Q(2))/g(1N)(n.s.)(x,Q(2)) and 10% for g(1A=3)(n.s.)(x,Q(2))/g(1N)(n. s.)(x,Q(2)). By imposing the requirement that the Bjorken sum rule is satis fied we model the effect of enhancement. We find the effect of enhancement at x approximate to 0.125 (0.15) to be of an order of 20 (55)% for g(1A=7)( n.s. 3/2)(x,Q(2))/g(1N)(n.s.)(x,Q(2)) and 14 (40)% for g(1A=3)(n.s)(x,Q(2)) /g(1N)(n.s.)(x,Q(2)), if enhancement occupies the region 0.05 less than or equal to x less than or equal to 0.2 (0.1 less than or equal to x less than or equal to 0.2). We predict a 2% effect in the difference of the scatteri ng cross sections of deep inelastic scattering of an unpolarized projectile off Li-7 with M-J=3/2 and M-J=1/2. We also show explicitly that the many-n ucleon description of deep inelastic scattering off Li-7 becomes invalid in the enhancement region 0.05<x less than or equal to 0.2.