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In this thesis, we present the measurements of $D^{0}\to K\pi$ at low $p_T$($p_T\leq2$ GeV/$c$) and non-photonic electron spectra ($0.9\leq p_T\leq5$GeV/$c$) from $D^0$ semi-leptonic decay. In addition, we use a newly proposedtechnique to identify muons from charm decays at low $p_T$. The combination ofall these three measurements stringently constrains the total charm productioncross-section at mid-rapidity at RHIC. They also allow the extraction of thecharmed hadron spectral shape and a study of possible charm radial flow inAu+Au collisions.

Measurement of charm production cross-section and leptons from its semileptonic decay at RHIC