Mixing and CP-Violation Measurements of $B^0$ Mesons from the Tevatron Collider

Abstract

$B^0$ mixing measurements from the Tevatron Run I data are reported. These include time-integrated measurements of the average mixing parameter $\bar{\chi}$, six time-dependent oscillation measurements of $\Delta m_d$, and a time-dependent limit on $\Delta m_s$. Such measurements provide constraints on CKM matrix elements. A sample of $B^0/\bar{B}{^0} \to J/\psi K^0_S$ decays is used to directly measure the CP-violation parameter $\sin(2\beta)$. This value agrees well with indirect constraints on the CKM matrix.