Inclusive $S-$wave charmonium productions in $B$ decays

Abstract

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 ${\psi }^{{}^{\prime }}$ puzzle at the Tevatron. We first consider relativistic and radiative corrections to $J/\psi \to e^{+}{e}^{-}$ and $J/\psi \to$ Light Hadrons (LH), in order to determine two nonperturbative parameters, $⟨J/\psi |O_1{(}^3{S}_1)|J/\psi ⟩$, $⟨J/\psi |P_1{(}^3{S}_1)|J/\psi ⟩$, in the factorization formulae for these decays. Using these two matrix elements and including the color-octet $c\bar{c}{(}^3{S}_1)$ state contribution, we get a moderate increase in the decay rates for $B$ decays into $J/\psi (\mathrm{or}{\psi }^{{}^{\prime }})+X$. Our results, $B(B\to J/\psi (\mathrm{or}{\psi }^{{}^{\prime }})+X)=0.58(0.23)\%$ for $M_b=5.3$ GeV, get closer to the recent CLEO data. As a byproduct, we prefer a larger decay rate for ${\eta }_c\to$ LH compared to the present data.

arXiv comment12 pages

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• Color-octet quarkonia production
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Cited by in corpus (45)

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• Quarkonium Decay Matrix Elements from Quenched Lattice QCD
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• QCD analysis of inclusive B decay into charmonium
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• J/psi plus jet associated production in two-photon collisions at next-to-leading order
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• 1P1 charmonium production at the Tevatron
• Color-Octet Contributions in the Associate J/psi+gamma Hadroproduction
• Measurement of Inclusive B --> psi Production
• Long distance effects in inclusive rare $B$ decays and phenomenology of $\bar{B}\to X_d{\ell }^{+}{\ell }^{-}$
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• D-wave charmonium production in B decays
• The Rare Radiative Annihilation Decays ${\bar{B}}_{s,d}^0\to J/\psi \gamma$
• Color-octet heavy quarkonium productions in Z0 decays at LEP
• Momentum Distribution in the Decay B-->J/psi+X
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• Colour rearrangements in B-meson decays
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• Resolution of the LHCb ${\eta }_c$ anomaly
• Relativistic Corrections for Plarized J/Ψ-Production in b-quark decay
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• Color-Octet Contribution and Direct CP Violation in $B\to \psi ({\psi }^{\prime })X$
• Study of charmonium production using decays to hadronic final states with the LHCb experiment
• Reexamination of the resonance contributions in B->X_s e^+ e^-
• Nonfactorization Effects in Inclusive Decay B->J/ΨX_s