Tensor-polarized structure function b₁ by convolution picture for deuteron

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There are polarized structure functions b₁₋₄ for the spin-1 deuteron. We calculated the leading-twist tensor structure function b₁ by using convolution description for the deuteron. We found large differences between our theoretical functions and HERMES experimental data on b₁. Although higher-twist effects should be considered in obtaining experimental b₁, it suggests a possible existence of new hadron physics mechanism for spin-1 hadrons. Furthermore, we found that there are significant distributions at large Bjorken x. In future, an experimental measurement is planned at JLab for b₁ and there is a possibility of a proton-deuteron Drell-Yan experiment at Fermilab with the tensor-polarized deuteron, so that further theoretical studies are needed for clarifying the physics origin of tensor structure in terms of quark and gluon degrees of freedom.