J/psi mesons have been reconstructed from their decay to mu(+)mu(-) an
d e(+)e(-), using the data collected by the DELPHI experiment during 1
991 and 1992 at the LEP collider. From about 1 million hadronic Z deca
ys 153 +/- 17 J/psi were found, 5.4 +/- 2.3 psi' were obtained in the
channel J/psi(--> mu(+)mu(-))pi(+)pi(-) and 6.4 +/- 2.7 chi(c) in the
channel J/psi(--> mu(+)mu(-))gamma. As the dominant source of J/psi me
sons is from b quarks, the following branching ratios: Br(b-->J/psi X)
= (1.12 +/- 0.12 (stat.) +/- 0.10 (syst.))%, Br(b --> psi' X) = (0.48
+/- 0.22 (stat.) +/- 0.10 (syst.))%, Br(b-->chi(cl) X) = (1.4 +/- 0.6
(stat.)(-0.2)(+0.4) (syst.))% were measured. From the proper time dis
tribution of the J/psi sample, the average lifetime of b-hadrons decay
ing into J/psi was found to be: tau(B) = 1.50(-0.21)(+0.24) (stat.) +/
- 0.03 (syst.) ps. A search for completely reconstructed B meson decay
s to final states including a J/psi gave a signal of 15 +/- 5 events.