ROTATIONAL PREDISSOCIATION RESONANCES IN ANHARMONIC POTENTIALS

We calculate the resonant energies for finite range, anharmonic, poten tials. We exemplify our method with the well known Morse potential and with a potential given by Deng [1] both of them with a centrifugal ba rrier. In this work we calculate the resonant energies using Siegert b oundary conditions [2]. Starting with a complex wavenumber k, we integ rate numerically from the origin up to a matching point using Numerov' s method. The inward integration is performed using the corresponding Riccati equation. The complex eigenvalues are found by matching the tw o logarithmic derivatives. We find narrow shape resonances within the well, above the dissociation limit, as well as broad resonances above the centrifugal barrier and anti-bound states.