$J/\psi$ and $\psi '$ Production in Hadronic $Z^{0}$ Decays

The production of J/psi mesons in Z(0) decays is studied using 3.6 million hadronic events recorded by the OPAL detector at LEP. The inclusive Z(0) to J/psi and b-quark to J/psi branching ratios are measured from the total yield of J/psi mesons, identified from their decays into lepton pairs. The J/psi momentum distribution is used to study the fragmentation of b-quarks. The production rate of psi' mesons, identified from their decays into a J/psi and a pi(+)pi(-) pair, is measured as well. The following results are obtained:Br(Z(0)-->J/psi X) = (3.9 +/- 0.2 +/- 0.3). 10(-3) and Br(Z(0)-->psi' X) = (1.6 +/- 0.3 +/- 0.2). 10(-3),where the first error is statistical and the second systematic. Finally the J/psi sample is used to reconstruct exclusive b-hadron decays and calculate the corresponding b-hadron branching ratios and masses.