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Production and polarization of prompt $J/ψ$ in the improved color evaporation model using the $k_T$-factorization approach

Abstract

We calculate the polarization of prompt production in the improved color evaporation model at leading order employing the -factorization approach. In this paper, we present the polarization parameter of prompt as a function of transverse momentum in and + A collisions to compare with data in the helicity, Collins-Soper and Gottfried-Jackson frames. We also present calculations of the charmonium production cross sections as a function of rapidity and transverse momentum. This is the first -dependent calculation of charmonium polarization in the improved color evaporation model. We find agreement with both charmonium cross sections and polarization measurements.