  The infinite-$U$ Anderson model coupled to a Jahn-Teller phonon is studied
using the slave boson method on the basis of the large degeneracy expansion
(1/N) scheme. The model Hamiltonian acts on the orbital degrees of freedom. The
main focus is on the interplay between strong local electron correlation and
weak Jahn-Teller electron-phonon interaction. The Kondo temperature is found to
decrease by Jahn-Teller interaction. The influence of the Jahn-Teller
interaction on dynamical correlation functions is very significant in sharp
contrast with the case of the Holstein-type phonon which couples to charge
degrees of freedom.
