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Optics and Spectroscopy

Resonance Light Scattering by Diatomic Molecules in External Fields

В. А. Онищук, M.I. Podgoretskii

Published Feb 1, 1968• 1 citation
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Abstract Three‐body resonance scattering of atom‐diatomic molecule systems involving internal excitations is discussed by fully allowing the topological phase (Berry phase) contribution. Earlier a generalized formalism (Phys. Rev. A 1996, 53, 2433) of the three‐body resonance scattering was presented by introducing the gauge potential (Berry connection). Based on this study we provide additional information on topological importance in resonance scattering involving the atom‐diatomic molecule systems. The massive gauge field (Berry connection) contribution which arises from a broken symmetry is discussed. Its relevance to condensed matter physics will be briefly high lighted in connection with our recent theory of super conductivity (Phys. Rev. B 1999, 60, 6324).
Non-resonant light interacting with diatomics via the polarizability anisotropy couples different rotational states and may lead to strong hybridization of the motion. The modification of shape resonances and low-energy scattering states due to this interaction can be fully captured by an asymptotic model, based on the long-range properties of the scattering (Crubellier et al 2015 New J. Phys. 17 045020 ). Remarkably, the properties of the field-dressed shape resonances in this asymptotic multi-channel description are found to be approximately linear in the field intensity up to fairly large intensity. This suggests a perturbative single-channel approach to be sufficient to study the control of such resonances by the non-resonant field. The multi-channel results furthermore indicate the dependence on field intensity to present, at least approximately, universal characteristics. Here we combine the nodal line technique to solve the asymptotic Schrödinger equation with perturbation theory. Comparing our single channel results to those obtained with the full interaction potential, we find nodal lines depending only on the field-free scattering length of the diatom to yield an approximate but universal description of the field-dressed molecule, confirming universal behavior.