Wavefunction at the origin,with the incorporation of a relativistic effect,leads to singularity in a specific potential model To regularize the wavefunction,we introduced a short distance scale and used it to estimate the mass and decay constants of Bd and Bs mesons within the QCD potential model These values were then used to compute the oscillation frequency,△mB,of Bd and Bs mesons.The values were found to be in good agreement with experimental and other theoretical values.Investigations of weak decays of mesons composed of a heavy quark and an antiquark give us an important insight into heavy-quark dynamics.Research into the mixing and decay constants of B meson also provides us with useful information about the dynamics of quarks and gluons at the hadronic scale.The weak eigenstates of neutral mesons are different from their mass eigenstates.This leads to the phenomenon of mixing,whereby neutral mesons oscillate between their matter and antimatter states.This was first observed in the Kaon sector,and subsequently in Bd and Bs mesons.