标题： 包含$S-$波重夸克介子在$B$衰变中的产生 显示英文标题

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

摘要： 在包含$S-$波夸克胶子态在$B$衰变中的产生率研究中，采用了Bodwin-Braaten-Lepage（BBL）方法，包括相对论修正和色八重态机制，这被建议作为解决TeVatron上的$\psi^{'}$难题的可能方案。 我们首先考虑对$J/\psi \rightarrow e^{+} e^{-}$和$J/\psi \rightarrow$轻强子（LH）的相对论和辐射修正，以确定这些衰变的因子化公式中的两个非微扰参数，$\langle J/\psi | O_{1} (^{3}S_{1}) | J/\psi \rangle$，$\langle J/\psi | P_{1} (^{3}S_{1}) | J/\psi \rangle$。 使用这两个矩阵元并包括颜色八重态$c\bar{c}(^{3}S_{1})$的贡献，我们得到$B$衰变到$J/\psi ~({\rm or}~\psi^{'}) ~+ X$的衰变率有适度的增加。 我们的结果，$B(B \rightarrow J/\psi~({\rm or}~\psi^{'}) + X) = 0.58~(0.23) \%$对于$M_{b} = 5.3$GeV，更接近最近的CLEO数据。 作为副产品，我们更倾向于$\eta_{c} \rightarrow$LH 的衰变率更大，相对于现有数据。 显示英文摘要

摘要： 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 $\psi^{'}$ puzzle at the Tevatron. We first consider relativistic and radiative corrections to $J/\psi \rightarrow e^{+} e^{-}$ and $J/\psi \rightarrow$ Light Hadrons (LH), in order to determine two nonperturbative parameters, $\langle J/\psi | O_{1} (^{3}S_{1}) | J/\psi \rangle$, $\langle J/\psi | P_{1} (^{3}S_{1}) | J/\psi \rangle$, 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 $J/\psi ~({\rm or}~\psi^{'}) ~+ X$. Our results, $B(B \rightarrow J/\psi~({\rm or}~\psi^{'}) + X) = 0.58~(0.23) \%$ for $M_{b} = 5.3$ GeV, get closer to the recent CLEO data. As a byproduct, we prefer a larger decay rate for $\eta_{c} \rightarrow$ LH compared to the present data.