dorsal/arxiv
View SchemaOrbiting Resonances and Bound States in Molecular Scattering
| Authors | Enrico De Micheli, Giovanni Alberto Viano |
|---|---|
| Categories | |
| ArXiv ID | physics/0201031 |
| URL | https://arxiv.org/abs/physics/0201031 |
| DOI | 10.1103/PhysRevA.65.032728 |
Abstract
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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"abstract": "A family of orbiting resonances in molecular scattering is globally described\nby using a single pole moving in the complex angular momentum plane. The\nextrapolation of this pole at negative energies gives the location of the bound\nstates. Then a single pole trajectory, that connects a rotational band of bound\nstates and orbiting resonances, is obtained. These complex angular momentum\nsingularities are derived through a geometrical theory of the orbiting. The\ndownward crossing of the phase-shifts through pi/2, due to the repulsive region\nof the molecular potential, is estimated by using a simple hard-core model.\nSome remarks about the difference between diffracted rays and orbiting are also\ngiven.",
"arxiv_id": "physics/0201031",
"authors": [
"Enrico De Micheli",
"Giovanni Alberto Viano"
],
"categories": [
"physics.atom-ph",
"physics.atm-clus"
],
"doi": "10.1103/PhysRevA.65.032728",
"title": "Orbiting Resonances and Bound States in Molecular Scattering",
"url": "https://arxiv.org/abs/physics/0201031"
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