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→${\mathit{e}}^{+}$${\mathit{e}}^{\mathrm{-}}$ and J/ψ→ light hadrons (LH’s), in order to determine two nonperturbative parameters, 〈J/ψ‖${\mathit{O}}_1$${(}^3$${\mathit{S}}_1$)‖J/ψ〉, 〈J/ψ‖${\mathit{P}}_1$${(}^3$${\mathit{S}}_1$)‖J/ψ〉, in the factorization formulas for these decays. Using these two matrix elements and including the color-octet cc¯${(}^3$${\mathit{S}}_1$) 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 ${\mathit{M}}_{\mathit{b}}$=5.3 GeV get closer to the recent CLEO data. As a by-product, we prefer a larger decay rate for ${\mathrm{\eta }}_{\mathit{c}}$→LH compared to the present data. © 1996 The American Physical Society.

• Received 5 June 1995

DOI:https://doi.org/10.1103/PhysRevD.53.1409