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A second order, $O(\alpha ^2_s)$, calculation in perturbative quantumchromodynamics of the two particle inclusive cross section is presented for thereaction $p +\bar{p}\rightarrow \gamma + c + X$ for large values of thetransverse momentum of the prompt photon and charm quark. The combination ofanalytic and Monte Carlo integration methods used here to perform phase-spaceintegrations facilitates imposition of photon isolation restrictions and otherselections of relevance in experiments. Differential distributions are providedfor various observables. Positive correlations in rapidity are predicted.Comment: 27 pages in RevTex plus 14 figures in one compressed PS fil

Production of a prompt photon in association with a charm quark at next-to-leading order in QCD