Mixing and CP -Violation Measurements of B Mesons from the Tevatron Collider

B mixing measurements from the Tevatron Run I data are reported. These include time-integrated measurements of the average mixing parameter χ, six timedependent oscillation measurements of ∆md, and a time-dependent limit on ∆ms. Such measurements provide constraints on CKM matrix elements. A sample of B/B → J/ψK S decays is used to directly measure the CP -violation parameter sin(2β). This value agrees well with indirect constraints on the CKM matrix. 1 B-Physics and the CKM Matrix A major objective in the study of bottom hadrons is determining the elements of the Cabbibo-Kobayashi-Maskawa (CKM) matrix [1], and to stringently test its adequacy. This matrix transforms the flavor eigenstates of quarks into their mass eigenstates, which are not the same in the Standard Model (SM). A convenient parameterization in powers of the Cabibbo angle (λ ≡ sin θC = |Vus|) is due to Wolfenstein [2]: