  We calculate the $^{11}$B$(n,\gamma)^{12}$B reaction rate, an important
constituent in nucleosynthesis networks, contributed by resonant as well as
non-resonant capture. For the resonant rate, we use the narrow resonance
approximation whereas the non-resonant contribution is calculated with the
Coulomb dissociation method for which we use finite-range distorted wave Born
approximation theory. We then compare our calculated rate of
$^{11}$B$(n,\gamma)^{12}$B reaction with those reported earlier and with other
charged particle reactions on $^{11}$B.
