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A B{sub s}{sup 0} meson can oscillate into its anti-particle, the {bar B}{sub s}{sup 0} meson, before decaying. CP violation in this system is made possible by the presence of amplitudes from both mixed and unmixed B{sub s}{sup 0} meson decays. The CP violating phase {beta}s appears in the interference between the decay amplitudes. The quantity sin(2{beta}s) is expected to be small in the standard model. Thus, measuring a large value for sin(2{beta}s) would be an unequivocal sign of new physics participation in the B{sub s}{sup 0} mixing loop diagram. In this thesis, we present a latest measurement of sin(2{beta}s), using 5.2 fb{sup -1} of data collected at CDF from p{bar p} collisions at a center of mass energy of {radical}s = 1.96 TeV. A time-dependent angular analysis, with the production flavor of the B{sub s}{sup 0} meson identified with flavor tagging methods, is used to extract sin(2{beta}s) from {approx}6500 B{sub s}{sup 0} {yields} J/{psi}{phi} decays. Other parameters of interest, such as the B{sub s}{sup 0} lifetime and the decay width difference {Delta}{Lambda} between the heavy and light B{sub s}{sup 0} mass eigenstates are determined to high precision. Also, the effect of potential contributions to the final state from B{sub s}{sup 0} {yields} J/{psi}f{sub 0} and B{sub s}{sup 0} {yields} J/{psi}K{sup +}K{sup -} decays is considered for the first time. We present 68% and 95% confidence regions in the {beta}s - {Delta}{Lambda} plane. The probability that the observed central value is a fluctuation of the data from the standard model expected value of {beta}s is calculated to be 44%. The observed confidence region shows better agreement with the standard model prediction than previous measurements

Measurement of the CP Violating Phase $\boldsymbol{\sin(2\beta_{s})}$ using $\boldsymbol{B^{0}_{s}\rightarrow J/\psi\phi}$ Decays at CDF