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Journal of Physics B Atomic Molecular and Optical Physics

Quantum-reflection model for Penning ionization rate coefficients in cold collisions of metastable helium and rubidium

A S Dickinson

Published Oct 21, 2010• 0 citations
Publisher

Abstract

A quantum-reflection model is employed to calculate the rate coefficient for the Penning ionization of rubidium by cold metastable helium atoms in unpolarized collisions. Various results for the p-wave transmission coefficient on a 1/R-6 long-range potential are discussed. The dispersion coefficient for the interaction of these atoms is estimated as 3540 au. The calculated value of the rate coefficient is about four times lower than the recently measured value (Byron et al 2010a Phys. Rev. A 81 013405) for this process when both atoms are held in magneto-optical traps.

DOI
10.1088/0953-4075/43/21/215302

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We have studied the optical collisions of cold, metastable helium atoms in a magneto-optical trap. We have detected the rate of Penning and associative ionization of two metastable helium atoms at a temperature of 1 mK with and without nearly resonant light. We find that the associative ionization rate is increased with more than a factor 20 due to the presence of the light field. We present a simple, semiclassical model, which accounts for all the observed features, and which agrees, also on an absolute scale, with our experimental results.
A quantum-mechanical close-coupled calculation of field-free collisions of cold metastable helium atoms has been performed. Theoretical predictions of the rate coefficients for elastic processes and losses due to the Penning and associative ionization processes are reported for temperatures ranging from 1 $\ensuremath{\mu}\mathrm{K}$ to 1 K. The sensitivity of the rate constants to uncertainties in the molecular potentials and autoionization widths has been investigated. The total ionization loss rates were found to be sensitive to the short-range form of the ${}^{1}{\ensuremath{\Sigma}}_{g}^{+}$ molecular potential and the autoionization widths, while the total elastic rate constants exhibit greater sensitivity to the short-range ${}^{5}{\ensuremath{\Sigma}}_{g}^{+}$ molecular potential.
We have investigated cold ionizing heteronuclear collisions in dilute mixtures of metastable (23S1)(2\phantom{\rule{0.2em}{0ex}}^{3}S_{1})(23S1​) 3He^{3}\mathrm{He}3He and 4He^{4}\mathrm{He}4He atoms, extending our previous work on the analogous homonuclear collisions [R. J. W. Stas et al., Phys. Rev. A 73, 032713 (2006)]. A simple theoretical model of such collisions enables us to calculate the heteronuclear ionization rate coefficient, for our quasiunpolarized gas, in the absence of resonant light (T=1.2mK)(T=1.2\phantom{\rule{0.2em}{0ex}}\mathrm{mK})(T=1.2mK): ${K}_{34}^{(\mathrm{th})}=2.4\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}10}\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{3}∕\mathrm{s}$. This calculation is supported by a measurement of K34{K}_{34}K34​ using magneto-optically trapped mixtures containing about $1\ifmmode\times\else\texttimes\fi{}{10}^{8}$ atoms of each species, ${K}_{34}^{(\mathrm{exp})}=2.5(8)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}10}\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{3}∕\mathrm{s}$. Theory and experiment show good agreement.