PERTURBATION EXPANSION OF QUANTUM RESONANCE ENERGIES

We present new results concerning the theoretical treatment of quantum resonances based on the use of optical potentials and perturbation th eory. A new criterion is presented for selecting an optical potential. As a result, a wide class of optical potentials which lead to efficie nt asymptotic series is available. A numerical illustration for two sh ape resonances show that accurate resonance energies and lifetimes can be obtained from a very small number of real square-integrable functi ons. (C) 1997 Elsevier Science B.V.