Measurements of the average b-hadron lifetime using inclusive B [yields] J/[psi]X events, the individual B[sub u] and B[sub d] lifetimes and their ratio using exclusive B [yields] [psi]K events, and the B[sub s] lifetime using semileptonic B[sub s] lifetime using semileptonic B[sub s] [yields] l[nu]D[sub 3]X events are presented. The results were obtained from a 21.3 pb[sup [minus]1] sample of [radical]s = 1.8 TeV [bar p]p collisions collected in 1992--93 at the Fermilab Tevatron collider and required the precise position measurements of the recently installed CDF silicon vertex detector.

Over the past decades the current theoretical description, the Standard Model of elementary particle physics, was solidified by many measurements as the basic theory describing fundamental particles and their interactions. It is extremely successful in explaining the high-precision data collected by experiments so far. The Standard Model includes several intrinsic parameters which have to be measured in experiments. Independent analyses of different physical processes can constrain those parameters. By combining those measurements physicists might be sensitive to physics beyond the Standard Model. If they are inconsistent it allows to get a hint on the theory that might supersede the Standard Model. The goal of the analysis presented in this thesis is to measure some of these parameters in the B{sub s} meson system. The B{sub s} meson, consisting of an anti-b and s quark, is not a pure mass eigenstate, thus allowing a B{sub s} meson to oscillate into its antiparticle via weak interacting processes. This is a general feature of any neutral meson. The history of meson mixing measurements is more then 50 years old. It was first observed in the kaon system. The oscillation in the B{sub d} system was measured very precisely by the B factories, whereas the oscillation frequency of the B{sub s} was measured with more than 5[sigma] significance last year by CDF and first evidence for mixing in the D0 system was presented only this year.

The two collider experiments at the Tevatron, CDF and D0, have made a lot of progress in B{sub s} lifetime difference measurements. Here, they have included 3 different channels of measurements, namely, B{sub s} {yields} J/{psi} + {phi}, B{sub s} {yields} K{sup +}K{sup -} and B{sub s} {yields} D{sub s}{sup (*)+}D{sub s}{sup (*)-}. Combining all the available measurements, they have obtained {Delta}{Lambda}{sub s} = 0.097{sub -0.042}{sup +0.041} ps{sup -1} and {bar {tau}} = 1/{Lambda}{sub s} = 1.461 {+-} 0.030 ps. {Delta}{Lambda}{sub s} is now 2.3 {sigma} away from zero.

Abstract Not Provided.