Inclusive and exclusive decays of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>mesons to final states including charm and charmonium mesons

Abstract

We have studied hadronic decays of $B$ mesons. We report measurements of exclusive branching ratios of several charm decay modes of $B$ mesons to final states with a $D$ or ${D}^{*}$ and one to three charged pions or a charged $\ensuremath{\rho}$ and to final states with a $\ensuremath{\psi}$ or ${\ensuremath{\psi}}^{\ensuremath{'}}$, a kaon, and up to two charged pions. We have also measured inclusive branching ratios for $B$ decays to $D$ and ${D}^{*}$ and the spectra of these particles in $B$ decays. The total charm content in $B$ decay is found to be (101\ifmmode\pm\else\textpm\fi{}12)%. The branching ratios and spectra are compared to form-factor models. We extract the parameters ${a}_{1}$ and ${a}_{2}$ of the model of Bauer, Stech, and Wirbel and the ${D}_{S}$ decay constant. The masses of the ${\overline{B}}^{0}$ and ${B}^{\ensuremath{-}}$ mesons are measured. The mass difference between ${\overline{B}}^{0}$ and ${B}^{\ensuremath{-}}$ is found to be -0.4\ifmmode\pm\else\textpm\fi{}0.6\ifmmode\pm\else\textpm\fi{}0.5 MeV/${\mathit{c}}^{2}$.