  [abridged] Bound states of heavy quarks can serve as a laboratory for inquiry
into the behaviour of the fundamental strong and electroweak interactions. This
thesis examines observations of B0, B0bar, and B+- mesons produced in
proton-antiproton collisions at centre-of-mass energies of sqrt{s}=1.8 TeV. The
B-meson decay products are recorded using the Collider Detector at Fermilab
(CDF) located on the Tevatron collider at Fermilab, USA. Four B-meson decays
and their charge conjugates are studied: B+ -> J/psi K+, B0 -> J/psi K*(892)0,
B+ -> psi(2S) K+, and B0 -> psi(2S) K*(892)0. Using a data sample corresponding
to a time-integrated luminosity of (109 +- 7)/pb, statistically significant
signals are observed in all the channels. Topological similarities between the
B decays are exploited to measure the six relative branching fractions (Br) of
each channel with respect to the other channels. The ratios involving the B+ ->
J/psi K+ mode are Br(B0 -> J/psi K*(892)0) / Br(B+ -> J/psi K+) = 1.76 +-
0.14[stat] +- 0.15[syst], Br(B+ -> psi(2S) K+) / Br(B+ -> J/psi K+) = 0.558 +-
0.082[stat] +- 0.056[syst], and Br(B0 -> psi(2S) K*(892)0) / Br(B+ -> J/psi K+)
= 0.908 +- 0.194[stat] +- 0.100[syst]. The indicated uncertainties are
statistical and systematic, respectively. In ratios involving unlike B-meson
species, equal production rates for B+ and B0 mesons have been assumed. The B+
-> psi(2S) K+ and B0 -> psi(2S) K*(892)0 reconstructions are the first
observations of these processes at a hadron collider. The branching-fraction
ratio measurements are consistent with phenomenological predictions that employ
the factorization Ansatz, and the derived absolute branching-fraction
measurements are consistent with previous world-average limits and values from
e+e- colliders. [abridged]
