Shape resonances in ground-state diatomic molecules: General trends and the example of RbCs

Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.012510· OSTI ID:21442914

Londono, B E ^[1]; Mahecha, J E ^[1]; Luc-Koenig, E; Crubellier, A ^[2]

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1. Instituto de Fisica, Universidad de Antioquia, Calle 67 No. 53-108, AA 1226, Medellin (Colombia)
2. Laboratoire Aime Cotton, CNRS, Batiment 505, Universite Paris-Sud, F-91405 Orsay Cedex (France)

The presence of shape resonances due to tunneling through the centrifugal barrier modifies strongly the dynamics of cold atom scattering. As shown on the example of the ground and lowest triplet electronic states of the {sup 85}Rb{sup 133}Cs molecule, the crucial parameter is, as usual for cold collisions, the scattering length. A general description of shape resonances of diatomic molecules is given from three simple single channel asymptotic models, whose respective performances are discussed. The first model, which consists of a R{sup -6} potential limited at short range by a repulsive wall, positioned to reproduce the s-wave scattering length, accounts satisfactorily for the main system-independent properties of shape resonances. Introduction in the model of energy- and angular-momentum-dependent nodal lines specific to the inner part of the potential greatly improves its efficiency. When the energy and angular momentum dependence of the nodal lines cannot be deduced from full potential calculations or from experiment, a rough, but universal, estimate of these properties is obtained by extending the R{sup -6} behavior of the potential up to the origin.

• OSTI ID: 21442914
• Journal Information: Physical Review. A, Vol. 82, Issue 1; Other Information: DOI: 10.1103/PhysRevA.82.012510; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR MOMENTUM
ASYMPTOTIC SOLUTIONS
ATOM COLLISIONS
ATOMS
CESIUM
INTERMETALLIC COMPOUNDS
MOLECULE COLLISIONS
MOLECULES
POTENTIALS
RESONANCE
RUBIDIUM
S WAVES
SCATTERING
SCATTERING LENGTHS
TRIPLETS
TUNNEL EFFECT
ALKALI METALS
ALLOYS
COLLISIONS
DIMENSIONS
ELEMENTS
LENGTH
MATHEMATICAL SOLUTIONS
METALS
MULTIPLETS
PARTIAL WAVES