Exotic Resonant States Whose Wave Functions Are Localized In The Barrier Region

Astronomy and Astrophysics – Astrophysics

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Potential Energy Surfaces For Excited Electronic States, Solutions Of Wave Equations: Bound States, Scattering Of Atoms And Molecules

Scientific paper

A unified treatment of all natural modes of the system particle+potential (bound and resonant states) is obtained in the Riemann surface approach to bound and resonant states. Exotic resonant states with properties that differ from the properties of usual resonant states are identified for various shapes of potential, provided that a potential barrier exists. In the case of a short range potential with Coulomb and centrifugal barrier it is shown that the exotic resonant states corresponding to poles in the neighborhood of certain attractors in the k-plane are the parent quasimolecular states. The properties of the parent quasimolecular states (energy, widths, deviation from the linear dependence of the energy on l(l+1), doorway character, and criteria for observability) result naturally from the general properties of the exotic resonant states.

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