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The production of D mesons in the scattering of transversely polarizedprotons off unpolarized protons at RHIC offers a clear opportunity to gaininformation on the Sivers gluon distribution function. D production atintermediate rapidity values is dominated by the elementary g g --> c cbarchannel; contributions from q qbar --> c cbar s-channel become important onlyat very large values of x_F. In both processes there is no single spintransfer, so that the final c or cbar quarks are not polarized. Therefore, anytransverse single spin asymmetry observed for D's produced in p(transv.polarized) p interactions cannot originate from the Collins fragmentationmechanism, but only from the Sivers effect in the distribution functions. Inparticular, any sizeable spin asymmetry measured in p(transv. polarized) p -->D X at mid-rapidity values will be a direct indication of a non zero Siversgluon distribution function. We study the p(transv. polarized) p --> D Xprocess including intrinsic transverse motion in the parton distribution andfragmentation functions and in the elementary dynamics, and show how resultsfrom RHIC could allow a measurement of the Sivers gluon distribution function.Comment: RevTeX, 6 pages, 2 ps figure

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

Accessing Sivers gluon distribution via transverse single spin asymmetries in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>p</mml:mi><mml:mo>↑</mml:mo></mml:msup><mml:mi>p</mml:mi><mml:mo>→</mml:mo><mml:mi>D</mml:mi><mml:mi>X</mml:mi></mml:math>processes at BNL RHIC

Accessing Sivers gluon distribution via transverse single spin asymmetries inp↑p→DXprocesses at BNL RHIC