Multichannel quantum defect theory for cold molecular collisions

James F. E. Croft, Alisdair O. G. Wallis, Jeremy M. Hutson, and Paul S. Julienne
Phys. Rev. A 84, 042703 – Published 6 October 2011

Abstract

Multichannel quantum defect theory (MQDT) is shown to be capable of producing quantitatively accurate results for low-energy atom-molecule scattering calculations. With a suitable choice of reference potential and short-range matching distance, it is possible to define a matrix that encapsulates the short-range collision dynamics and is only weakly dependent on energy and magnetic field. Once this has been produced, calculations at additional energies and fields can be performed at a computational cost that is proportional to the number of channels N and not to N3. MQDT thus provides a promising method for carrying out low-energy molecular scattering calculations on systems where full exploration of the energy dependence and the field dependence is currently impractical.

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  • Received 23 May 2011

DOI:https://doi.org/10.1103/PhysRevA.84.042703

©2011 American Physical Society

Authors & Affiliations

James F. E. Croft, Alisdair O. G. Wallis, and Jeremy M. Hutson

  • Department of Chemistry, Durham University, South Road, Durham DH1 3LE, United Kingdom

Paul S. Julienne

  • Joint Quantum Institute, NIST and the University of Maryland, Gaithersburg, Maryland 20899-8423, USA

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Issue

Vol. 84, Iss. 4 — October 2011

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