APPLICATION OF THE COMPLEX COORDINATE METHOD TO THE CONICAL RESONANCES OF JAHN-TELLER SPECTRA

Various versions of the complex coordinate method are applied to the characterization (positions and widths) of the Slonczewski resonances associated with the conical intersections of a E x epsilon Jahn-Teller system in the linear approximation and strong coupling regime. The procedure is based on the direct integration of the coupled differential equations either in a diabatic or in an adiabatic formulation, with imposition of appropriate boundary conditions. Complex rotation of the radial coordinate changes the real eigenenergies of this bound system into complex ones with imaginary parts giving rate constants. Various checks on the significance of these energies are made. Pade approximants are used to relate them to the results of Slonczewski obtained under the assumption of zero restoring force.