Sum rule for the spin-dependent structure functionb1(x)for spin-one hadrons

We show that the spin-dependent structure function of spin-one hadrons, $b_1\mathrm{}\left(x\right)\mathrm{}$, is related to the electric quadrupole moment of the target, and obtain $\int \mathrm{dx}{b}_1\mathrm{}\left(x\right)\mathrm{}=limit\; of-\frac{5}{3}\left(\frac{t}{4M^2}\right)F_Q\mathrm{}\left(t\right)\mathrm{}\text{as}(t\to 0)=0\mathrm{}$ for isoscalar targets if the sea of quarks and antiquarks is unpolarized. We show how this sum rule is modified in the presence of a polarized sea.