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

We calculate the partonic cross sections for the hadroproduction of polarized χcJ 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 χcJ→J/ψ+γ and in the double-cascade decays of ψ^' mesons via χcJ intermediate states. These represent the missing ingredients needed to predict the polarization of prompt J/ψ mesons at the Fermilab Tevatron.