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 approach, including the relativistic corrections and the color-octet mechanism suggested as a possible solution to the psi' puzzle at the Fermilab Tevatron. We first consider relativistic and radiative corrections to J/psi --> e(+)e(-) and J/psi --> light hadrons (LH's), in order to determine two nonperturbative parameters (J/psi\O-1(S-3(1))\J/psi), (J/psi\P-1(S-3(1))\J/psi) in the factorization formulas las for these decays. Using these two matrix elements and including the color-octet <c(c)over bar>(S-3(1)) state contribution, we get a moderate increase in the decay rates for B decays into J/psi (or psi') + X. Our results B(B --> J/psi (or psi') + X) = 0.58(0.23)% for M(b) = 5.3 GeV get closer to the recent CLEO data. As a by-product, we prefer a larger decay rate for eta(c) --> LH's compared to the present data.