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 ψ' puzzle at the Fermilab Tevatron. We first consider relativistic and radiative corrections to J/ψ→e⁺e- and J/ψ→ light hadrons (LH’s), in order to determine two nonperturbative parameters, 〈J/ψ||O₁(³S₁)||J/ψ〉, 〈J/ψ||P₁(³S₁)||J/ψ〉, in the factorization formulas for these decays. Using these two matrix elements and including the color-octet cc-(³S₁) 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 M_b=5.3 GeV get closer to the recent CLEO data. As a by-product, we prefer a larger decay rate for η_c→LH compared to the present data.