A search for rare decays of B hadrons has been performed using approxi
mately two million hadronic Z0 decays collected by the OPAL experiment
between 1990 and 1993. The exclusive decay channels B(d)0 --> pi+pi-,
B(d)0 --> K+pi-, B(s)0 --> pi+ K- and B(s)0 --> K+K- have been studie
d. Such decays include contributions from flavour changing neutral cur
rent processes such as hadronic penguin decays. No significant excess
of events has been observed in the pi+pi-, pi+K- and K+K- invariant ma
ss distributions. Consequently, upper limits on the B(d)0 branching ra
tios, Br(B(d)0 --> pi+pi-) < 4.7 x 10(-5) and Br(B(d)0 --> K+pi-) < 8.
1 x 10(-5), and on the B(s)0 branching ratios, Br(B(s)0 --> pi+K-) < 2
.6 x 10(-4) and Br(B(s)0 --> K+K-) < 1.4 x 10(-4), have been set at th
e 90% confidence level. These limits assume that the ratio of the part
ial decay widths of the Z0, GAMMA(Z0 --> bbBAR)/GAMMA(Z0 --> hadrons),
is 0.217 and that the fractions of B(d)0 and B(s)0 mesons produced du
ring fragmentation are 39.5% and 12% respectively. The B(s)0 branching
ratio limits are the first such limits obtained.