Inclusive S-wave charmonium productions in B decays.

The inclusive S−wave charmonium production rates in B decays are considered using the Bodwin-Braaten-Lepage (BBL) approach, including the relativistic corrections and the color-octet mechanism suggested as a possible solution to the ψ ′ puzzle at the Tevatron. We first consider relativistic and radiative corrections to J/ψ → ee and J/ψ → Light Hadrons (LH), in order to determine two nonperturbative parameters, 〈J/ψ|O1(S1)|J/ψ〉, 〈J/ψ|P1(S1)|J/ψ〉, in the factorization formulae for these decays. Using these two matrix elements and including the color-octet cc̄(S1) state contribution, we get a moderate increase in the decay rates for B decays into J/ψ (or ψ ′ ) + X. Our results, B(B → J/ψ (or ψ′) + X) = 0.58 (0.23)% for Mb = 5.3 GeV, get closer to the recent CLEO data. As a byproduct, we prefer a larger decay rate for ηc → LH compared to the present data. Typeset using REVTEX [email protected] [email protected] [email protected]