RESONANCE QUANTIZATION WITH PERSISTENT EFFECTS

Resonance energies and widths are calculated for non-standard situatio ns where the potential matrix does not assume a constant diagonal form for infinite interparticle separation. Two cases are examined. The fi rst (persistent potential effects) is illustrated by the calculation o f the Rayleigh scattering amplitude by a diatomic molecule, where a li near open channel potential is coupled to a harmonic closed channel. I n the second case (persistent coupling effects) the channel potentials remain coupled at infinity because the channel functions do not descr ibe the separated atoms. In both cases the introduction of complex-ene rgy resonance boundary conditions requires special treatments. Partial widths can be accurately extracted either by explicitly considering t he correct asymptotic form of the channel functions or through a suita ble asymptotic analysis of the complex-energy probability flux.