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The Double Scattering Contribution to $b_1(x,Q^2)$ in the Deuteron

We study the tensor structure function $b_1\xq$ in deep inelastic scattering (DIS) of an electron from a polarized deuteron target. We model the electron-nucleon cross section at the starting point for $Q^2$ evolution by vector-meson-dominance (VMD). Shadowing due to the double-scattering of vector mesons, along with the presence of a d-state admixture in ground state deuteron wave function gives rise to a non-vanishing contribution to $b_1\xq$. Although significant at large Bjorken $x$, the restoration of rotational symmetry for small $x$ ($\leq10^{-3}$) requires that $b_1^{(2)}\xq$ approach zero as $x\to 0$ in this model. If the model is valid, it should apply within the range of present fixed target experiments.