Tevatron B-physics: Recent results and prospects

Between 1992 and 1996, the CDF and D0 experiments have collected data samples of 110 pb{sup -1} each of p{bar p} collisions at {radical}s = 1.8 TeV at the Fermilab Tevatron. In the year 2001 the Tevatron commenced p{bar p} collisions again at {radical}s = 1.96 TeV with the goal of delivering an integrated luminosity of 1 fb{sup -1} per year. In the mean time the CDF and D0 detectors have undergone substantial upgrades which allow for a rich B physics program with unique capabilities. In this paper we discuss recent results and the B Physics prospects at the Tevatron with 2 fb{sup -1} of data (Run IIa) or 15 fb{sup -1} of data (Run IIa+Run IIb)