The Inclusive Decays $B\to DX$ and $B\to D^{\ast }X$

Abstract

We report new measurements of the differential and total branching ratios for inclusive B decay to D^0, D^+ and D^{*+} and the first measurement of the same quantities for inclusive B decay to $D^{\ast 0}$. Here B is the mixture of B_d and B_u from ${\rm Y}(4S)$ decay. Furthermore, since more than one charm particle (or antiparticle) of the same kind can be produced in B decay, here ``inclusive B branching ratio'' is used to mean the average number of charm particles and their antiparticles of a certain species produced in B decay. We obtain the following results (the first error is statistical, the second systematic of this analysis, the third is propagated from other measurements): $\mathcal{B}(B\to D^{0}X)=(0.636\pm 0.014\pm 0.019\pm 0.018),\mathcal{B}(B\to D^{+}X)=(0.235\pm 0.009\pm 0.009\pm 0.024),\mathcal{B}(B\to D^{\ast 0}X)=(0.247\pm 0.012\pm 0.018\pm 0.018),\mathcal{B}(B\to D^{\ast +}X)=(0.239\pm 0.011\pm 0.014\pm 0.009)$. The following ratio of branching ratios is not affected by most of the systematic errors: $\mathcal{B}(B\to D^{\ast 0}X)/\mathcal{B}(B\to D^{\ast +}X)=(1.03\pm 0.07\pm 0.09\pm 0.08).$ We also report the first measurement of the momentum-dependent $D^{\ast 0}$ polarization and a new measurement of the $D^{\ast +}$ polarization in inclusive B decay. Using these measurements and other CLEO results and making some additional assumptions, we calculate the average number of c and $\bar{c}$ quarks produced in B decay to be $<n_c>=1.10\pm 0.05$.

39 page postscript file, postscript file also available through http://w4.lns.cornell.edu/public/CLNS

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