Sum Rule for the Structure Functions of the Deuteron from the Current Algebra on the Null-Plane

摘要

The fixed-mass sum rules for the deuteron target have been derived using the connected matrix element of the current anticommutation relation on the mill-plane. From these sum rules, we obtain the relation between the pseudo-scalar meson deuteron total cross sections and the structure functions of the deuteron. We show that the nuclear effect on the mean hypercharge of the sea quark of the proton can be studied using this relation. Furthermore, we obtain the relation among the Born term, resonances, and non-resonant background in a small-Q(2) region, and as a new aspect of the spin I target, the explicit relation of the tensor structure function b(2) at a small or moderate Q(2) to that at a large Q(2).