  We investigate the formation of a Bose polaron when a single impurity in a
Bose-Einstein condensate is quenched from a non-interacting to an attractively
interacting state in the vicinity of a Feshbach resonance. We use a
beyond-Fr\"ohlich Hamiltonian to describe both sides of the resonance and a
coherent-state variational ansatz to compute the time evolution of boson
density profiles in position space. We find that on the repulsive side of the
Feshbach resonance, the Bose polaron performs long-lived oscillations, which is
surprising given that the two-body problem has only one bound state coupled to
a continuum. They arise due to interference between multiply occupied bound
states and therefore can be only found with many-body approaches such as the
coherent-state ansatz. This is a distinguishing feature of the Bose polaron
compared to the Fermi polaron where the bound state can be occupied only once.
We derive an implicit equation for the frequency of these oscillations and show
that it can be approximated by the energy of the two-body bound state. Finally,
we consider an impurity introduced at non-zero velocity and find that, on the
repulsive side, it is periodically slowed down or even arrested before speeding
up again.
