  The relation between the energy and momentum of plasmarons in bilayer
graphene is investigated within the Overhauser approach, where the
electron-plasmon interaction is described as a field theoretical problem. We
find that the Dirac-like spectrum is shifted by $\Delta E(\mathbf{k})\sim
100\div150\,{\rm meV}$ depending on the electron concentration $n_{e}$ and
electron momentum. The shift increases with electron concentration as the
energy of plasmons becomes larger. The dispersion of plasmarons is more
pronounced than in the case of single layer graphene, which is explained by the
fact that the energy dispersion of electrons is quadratic and not linear. We
expect that these predictions can be verified using angle-resolved
photoemission spectroscopy (ARPES).
