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A study of prompt photon plus associated jet production is performed atnext-to-leading order (O($\alpha\alpha_s^2$)) in QCD at $\sqrt{S}=200-500$ GeV,appropriate for the RHIC polarized $\vec{p}\vec{p}$ collider experiment.Momentum correlations between the jet and photon are examined and the utilityof the process as a method for constraining the size and shape of the polarizedgluon density of the proton $\Delta G$ is examined.Comment: 22 pages, 12 figure

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

Rapidity correlations and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Δ</mml:mi><mml:mi>G</mml:mi></mml:math>from prompt photon plus jet production in polarized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>pp</mml:mi></mml:math>collisions

Rapidity correlations andΔGfrom prompt photon plus jet production in polarizedppcollisions