Study ofχc1andχc2meson production inBmeson decays

Using a sample of $9.7\times {10}^6$ $B\overline{B}$ meson pairs collected with the CLEO detector, we study B decays to the ${\chi }_{c1\mathrm{}}$ and ${\chi }_{c2\mathrm{}}$ charmonia states, which are reconstructed via their radiative decays to $J/\psi .$ We first measure the branching fraction for inclusive ${\chi }_{c1\mathrm{}}$ production in B decays to be $\mathcal{B}\left(\overrightarrow{B}{\chi }_{c1\mathrm{}}X\right)=(4.14\mathrm{}\pm 0.31\pm 0.40)\times {10}^{-3},$ where the first uncertainty is statistical and the second one is systematic. We derive the branching fractions for direct ${\chi }_{c1\mathrm{}}$ and ${\chi }_{c2\mathrm{}}$ production in B decays by subtracting the known contribution of the decay chain $\overrightarrow{B}\psi \mathrm{}\left(2S\right)X$ with $\psi \mathrm{}\left(2S\right)\mathrm{}\to {\chi }_{c1,2\mathrm{}}\gamma .$ We obtain $\mathcal{B}\left[\overrightarrow{B}{\chi }_{c1\mathrm{}}\right(\mathrm{direct}\left)X\right]=(3.83\mathrm{}\pm 0.31\pm 0.40)\times {10}^{-3}.$ No statistically significant signal for ${\chi }_{c2\mathrm{}}$ production is observed in either case. Using the Feldman-Cousins approach, we determine the 95% confidence intervals to be $[0.2,2.0]\times {10}^{-3}$ for $\mathcal{B}\left(\overrightarrow{B}{\chi }_{c2\mathrm{}}X\right),$ $[0.0,1.7]\times {10}^{-3}$ for $\mathcal{B}\left[\overrightarrow{B}{\chi }_{c2\mathrm{}}\right(\mathrm{direct}\left)X\right],$ and [0.00,0.44] for the ratio $\Gamma \left[\overrightarrow{B}{\chi }_{c2\mathrm{}}\right(\mathrm{direct}\left)X\right]/\Gamma \left[\overrightarrow{B}{\chi }_{c1\mathrm{}}\right(\mathrm{direct}\left)X\right].$ We also measure the branching ratio $\Gamma \left[\overrightarrow{B}{\chi }_{c2\mathrm{}}\right(\mathrm{direct}{)X}_s]/\Gamma [\overrightarrow{B}{\chi }_{c1\mathrm{}}\left(\mathrm{direct}{)X}_s\right]$ for different $X_s$ configurations by reconstructing B decays into exclusive final states with $J/\psi ,$ γ, a kaon, and up to four pions. For all the $X_s$ configurations, we observe a strong ${\chi }_{c1\mathrm{}}$ signal yet no statistically significant ${\chi }_{c2\mathrm{}}$ signal. We discuss how our results compare with theoretical predictions in different models of charmonium production.