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EGAS41 - Swansea University

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41 st EGAS CP 19 Gdańsk 2009<br />

Recoil by Auger electrons: theory and application<br />

Ph.V. Demekhin 1∗ , L.S. Cederbaum 2<br />

1 Institut für Physik, Universität Kassel, D-34132, Kassel, Germany<br />

2 Theoretische Chemie, PCI, Universität Heidelberg, D-69120 Heidelberg, Germany<br />

∗ Corresponding author: demekhin@physik.uni-kassel.de<br />

Translation-momentum coupling between electrons and nuclei in a molecule ejecting high<br />

energetic photoelectrons may result in internal excitations of the molecule [1]. This effect<br />

has been recently verified by observing photoelectron recoil-induced vibrational excitations<br />

in molecules [2]. The study of recoil by high energetic photoelectrons increases the<br />

experimental efforts, since photoionization cross sections typically fall off at high energies.<br />

Alternatively, one can study the Auger decay after the K-shell photoionization, where the<br />

photoelectron is only slightly above the 1s-threshold and the recoil momentum is provided<br />

by the fast Auger electron.<br />

The simple scheme to account for the momentum coupling between electrons and<br />

nuclei suggested in [1] has been extended to describe the recoil of nuclei by a fast Auger<br />

electron in diatomic molecules. The key for obtaining transparent equations is to represent<br />

the occupied orbitals as a LCAO and the fast continuum electron by a plane wave. This<br />

allows one to change the integration variables from the molecular frame to the laboratory<br />

one in the analytical evaluation of the Coulomb integrals.<br />

As an application, the impact of recoil by the fast Auger electron on the interatomic<br />

Coulombic decay (ICD) following the K-LL Auger decay in the Ne dimer has been investigated<br />

theoretically. ICD is a process where the transfer of relaxation energy from one<br />

site of a weakly bonded complex leads to the emission of a low-energy electron from a<br />

neighboring site [3]. The ICD after Auger decay in Ne 2 has been predicted theoretically<br />

in [4] and was recently verified experimentally [5]. A detailed theoretical interpretation is<br />

presented in [6].<br />

The present computations are performed within the framework of the time dependent<br />

theory of wave packet propagation. Our calculations illustrate an enormous effect of the<br />

recoil of the nuclei on the computed wave packets propagating on the potential curve<br />

populated by the Auger decay. The corresponding final state of the Auger process decays<br />

further by ICD. We show that the recoil momentum imparted differently onto the nuclei<br />

modifies the computed ICD spectra considerably.<br />

References<br />

[1] W.Domcke, L.Cederbaum, J.Electr.Spectr.Relat.Phenom. 13, 161 (1978)<br />

[2] E. Kukk, K. Ueda, U. Hergenhahn, et al., Phys. Rev. Lett. 95, 133001 (2005)<br />

[3] L.S. Cederbaum, J.Zobeley, F.Tarantelli, Phys. Rev. Lett. 79, 4778 (1997)<br />

[4] R. Santra, L.S. Cederbaum, Phys. Rev. Lett. 90, 153401 (2003)<br />

[5] K. Kreidi, T. Jahnke, T. Weber, et al., Phys. Rev. A 78, 043422 (2008)<br />

[6] Ph.V.Demekhin, S.Scheit, S.D.Stoychev, et al., Phys.Rev.A 78, 043421 (2008)<br />

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