Orbiting Resonances and Bound States in Molecular Scattering

Details Orbiting Resonances and Bound States in Molecular Scattering Orbiting Resonances and Bound States in Molecular Scattering

2002-01-15

arxiv.org/abs/physics/0201031v1

Physics

Atomic Physics

18 pages, 3 figures, to appear in Physical Review A

Scientific paper

10.1103/PhysRevA.65.032728

A family of orbiting resonances in molecular scattering is globally described by using a single pole moving in the complex angular momentum plane. The extrapolation of this pole at negative energies gives the location of the bound states. Then a single pole trajectory, that connects a rotational band of bound states and orbiting resonances, is obtained. These complex angular momentum singularities are derived through a geometrical theory of the orbiting. The downward crossing of the phase-shifts through pi/2, due to the repulsive region of the molecular potential, is estimated by using a simple hard-core model. Some remarks about the difference between diffracted rays and orbiting are also given.

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