INCLUSIVE PHOTOPRODUCTION OF POLARIZED P-3(1) QUARKONIUM

We analyse inclusive photoproduction of polarized P-3(1) quarkonium in the framework of QCD. To separate non-perturbative and perturbative p arts in the density matrix of the produced quarkonium we use a method, which is equivalent to the diagrammatic expansion widely used in anal yzing deeply inelastic scattering. A systematic expansion in a small v elocity upsilon, with which a heavy quark moves inside the quarkonium in its rest frame, is performed for the non-perturbative parts, and th ey are expressed as matrix elements in non-relativistic QCD, At the le ading order of upsilon there are four matrix elements representing non -perturbative physics. The perturbative parts are calculated at the le ading order of coupling constants. Some numerical results, especially numerical results for HERA, are given.