Abstract
A method is devised for estimating the perturbation on the vibrational states of a molecular ground electronic state due to the presence of a polarizing charged particle. The adiabatic polarization potential for the H2+-e- system is expanded about the equilibrium internuclear distance, Re, and the linear term is treated as a perturbation on the harmonic oscillator states of H2+. The perturbation problem is solved exactly, and the 'shifted' oscillator states are shown to yield a reduction factor of the form exp(-EJT/2 omega ) when their overlap with an unperturbed oscillator state is evaluated, and EJT is defined as the Jahn-Teller energy, proportional at large scattering electron distances to the square of the derivative of the H2+ polarizability at Re divided by the eighth power of the electron distance. At intermediate distances EJT can be a significant portion of the vibrational spacing omega .
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