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Quantum chaos in multicharged ions and statistical approach to the calculation of electron-ion resonant radiative recombination

G. F. Gribakin·A. A. Gribakina·V. V. Flambaum
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Abstract

We show that the spectrum and eigenstates of open-shell multicharged atomic ions near the ionization threshold are chaotic, as a result of extremely high level densities of multiply excited electron states ($10^3 eV^{-1}$ in Au^{24+}) and strong configuration mixing. This complexity enables one to use statistical methods to analyse the system. We examine the dependence of the orbital occupation numbers and single-particle energies on the excitation energy of the system, and show that the occupation numbers are described by the Fermi-Dirac distribution, and temperature and chemical potential can be introduced. The Fermi-Dirac temperature is close to the temperature defined through the canonical distribution. Using a statistical approach we estimate the contribution of multielectron resonant states to the radiative capture of low-energy electrons by Au^{25+} and demonstrate that this mechanism fully accounts for the 10^2 times enhancement of the recombination over the direct radiative recombination, in agreement with recent experimental observations.

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G. F. Gribakin, A. A. Gribakina, V. V. Flambaum. 1998-11-05. Quantum chaos in multicharged ions and statistical approach to the calculation of electron-ion resonant radiative recombination. https://doi.org/10.1071/ph98093

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