Polarized J/ψ from χ_cJ and ψ′ decays at the Fermilab Tevatron

We calculate the partonic cross sections for the hadroproduction of polarized χ_cJ mesons using the factorization formalism of nonrelativistic QCD. We also describe how the polarization is passed on to the J/ψ mesons in the radiative feed-down χ_cJ→J/ψ+γ and in the double-cascade decays of ψ′ mesons via χ_cJ intermediate states. These represent the missing ingredients needed to predict the polarization of prompt J/ψ mesons at the Fermilab Tevatron.