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We present a calculation of the leading order QCD fragmentation functions forgluons to split into spin-triplet D-wave quarkonia. We apply them to evaluatethe gluon fragmentation contributions to inclusive ^3D_J quarkonium productionat large transverse momentum processes like the Tevatron and find that theD-wave quarkonia, especially the charmonium 2^{--} state, could be observedthrough color-octet mechanism with present luminosity. Since there aredistinctively large gaps between the contributions of two different (i.e,color-singlet and color-octet) quarkonium production mechanisms, our resultsmay stand as a unique test to NRQCD color-octet quarkonium productionmechanism.Comment: 15 pages in LaTex (2 figures in PS-file

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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Gluon fragmentation to3DJquarkonia