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Threshold resonance effects in reactive processes

I. Simbotin, S. Ghosal, and R. Côté
Phys. Rev. A 89, 040701(R) – Published 30 April 2014

Abstract

We investigate the effect of near threshold resonances in reactive scattering at low energy. We find a general type of anomalous behavior of the cross sections, and illustrate it with a real system (H2+Cl). For inelastic processes, the anomalous energy dependence of the total cross section is given by σk3 (with kɛ). The standard threshold behavior given by Wigner's law (σk1) is eventually recovered at vanishing energies, but its validity is now limited to a much narrower range of energies. The anomalous behavior leads to reaction rate coefficients behaving as K1/T instead of the expected constant rate of the Wigner regime. We also provide analytical expressions for s-wave cross sections, and discuss the implication in ultracold physics and chemistry.

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  • Received 20 September 2013
  • Revised 20 March 2014

DOI:https://doi.org/10.1103/PhysRevA.89.040701

©2014 American Physical Society

Authors & Affiliations

I. Simbotin1, S. Ghosal1,2, and R. Côté1,3

  • 1Department of Physics, University of Connecticut, 2152 Hillside Rd., Storrs, Connecticut 06269, USA
  • 2Department of Chemistry, Birla Institute of Technology and Science Pilani, Hyderabad Campus, Jawahar Nagar, Shameerpet (M), Hyderabad 500078, India
  • 3Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

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Issue

Vol. 89, Iss. 4 — April 2014

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