  The mass spectrum of $c \bar b$ meson is investigated with an effective
quark-antiquark potential of the form $\frac{-\alpha_c}{r}$ + $A r^{\nu}$ with
$\nu$ varying from 0.5 to 2.0. The S and P-wave masses, pseudoscalar decay
constant, weak decay partial widths in spectator model and the lifetime of
$B_c$ meson are computed. The properties calculated here are found to be in
good agreement with other theoretical and experimental values at potential
index, $\nu=1$.
