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Many-body effects and resonances in universal quantum sticking of cold atoms to surfaces

J. Chem. Phys. 102, 2614 (1995); doi:10.1063/1.468692

Issue Date: 8 February 1995

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Eric R. Bittner
Department of Chemistry, The University of Texas at Austin, Austin, Texas 78712-1167

John C. Light
The James Franck Institute and the Department of Chemistry, The University of Chicago, Chicago, Illinois 60637
The role of shape resonances and many-body effects on universal quantum sticking of ultracold atoms onto solid surfaces is examined analytically and computationally using an exactly solvable representation of the Dyson equation. We derive the self-energy renormalization of the transition amplitude between an ultracold scattering atom and the bound states on the surface in order to elucidate the role of virtual phonon exchanges in the limiting behavior of the sticking probability. We demonstrate that, to first order in the interactions for finite ranged atom–surface potentials, virtual phonons can only rescale the strength of the atom–surface coupling and do not rescale the range of the coupling. Thus, universal sticking behavior at ultralow energies is to be expected for all finite ranged potentials. We demonstrate that the onset of the universal sticking behavior depends greatly on the position of the shape resonance of the renormalized potential and for sufficiently low energy shape resonances, deviations from the universal s(E)[proportional][square root of]E can occur near these energies. We believe that this accounts for many of the low energy sticking trends observed in the scattering of submillikelvin H atoms from superfluid 4He films. ©1995 American Institute of Physics.
History: Received 19 August 1994; accepted 31 October 1994
Permalink: http://link.aip.org/link/?JCPSA6/102/2614/1
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KEYWORDS and PACS

Keywords
PACS
  • 68.45.Da
    Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties) Solidfluid interfaces Adsorption and desorption kinetics; evaporation and condensation
  • 03.65.-w
    Classical and quantum physics: mechanics and fields Quantum mechanics
  • YEAR: 1995

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ISSN:
0021-9606 (print)   1089-7690 (online)
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