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We investigate the two-orbital periodic Anderson model, where the localorbital fluctuations of f-electrons couple with a two-fold degenerateJahn-Teller phonon, by using the dynamical mean-field theory. It is found thatthe heavy fermion state caused by the Coulomb interaction between f-electrons Uis largely enhanced due to the electron-phonon coupling g, in contrast to thecase with the single-orbital periodic Anderson model where the effects of U andg compete to each other. In the heavy fermion state for large $U$ and g, boththe orbital and lattice fluctuations are enhanced, while the charge (valence)and spin fluctuations are suppressed. In the strong coupling regime, a sharpsoft phonon mode with a large spectral weight is observed for small U, while abroad soft phonon mode with a small spectral weight is observed for large U.The cooperative effect of U and g for half-filling with two f-electrons peratom $n_f=2$ is more pronounced than that for quarter-filling with $n_f=1$.

Cooperative Effect of Coulomb Interaction and Electron-Phonon Coupling on the Heavy Fermion State in the Two-Orbital Periodic Anderson Model