The sum rule for the structure functions of the deuteron from the current algebra on the null-plane

Abstract

The fixed-mass sum rules for the deuteron target have been derived by using the connected matrix element of the current anti-commutation relation on the null-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 by this relation. Further we obtain the relation among the Born term, the resonances and the non-resonant background in the small $Q^2$ region, and as a new aspect of the spin 1 target, explicit relation of the tensor structure function $b_2$ at small or moderate $Q^2$ to that at large $Q^2$.