  This paper reports dynamical mean field calculations for the periodic
Anderson model in which the conduction band is coupled to phonons. Motivated in
part by recent attention to the role of phonons in the $\gamma$-$\alpha$
transition in Ce, this model yields a rich and unexpected phase diagram which
is of intrinsic interest. Specifically, above a critical value of the
electron-phonon interaction, a first order transition with two coexisting
phases develops in the temperature-hybridization plane, which terminates at a
second order critical point. The coexisting phases display the familiar Kondo
screened and local moment character, yet they also exhibit pronounced polaronic
and bipolaronic properties, respectively.
