Fluctuations in the Photoionization Cross Sections of Highly Doubly Excited Two-Electron Atoms

Johannes Eiglsperger () and Javier Madroñero ()
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Johannes Eiglsperger: Technische Universität München, Physik Department
Javier Madroñero: Technische Universität München, Physik Department

A chapter in High Performance Computing in Science and Engineering, Garching/Munich 2009, 2010, pp 627-637 from Springer

Abstract: Abstract We report on the spectral properties of highly doubly excited states of planar helium up to energies around the 25th ionization threshold. For that purpose we have developed an approach which combines an exact representation of the Hamiltonian of the three-body Coulomb problem in terms of creation and annihilation operators with complex dilation and with a parallelized implementation of the Lanczos algorithm for the diagonalization of the rather large associated complex symmetric generalized eigenvalue problem. We corroborate the existence of an approximate quantum number F=N−K and the dominance of the series of states associated to low values of F in the photoionization cross sections of triplet P states of planar helium. As the energy increases the dominant role of a single series as sole contributor is apparently lost as new series start to contribute significantly to the cross sections. This would result in an earlier onset of Ericson fluctuations than in the picture of a single dominant series, where the onset is expected around I 34.

Keywords: Helium Atom; Ionization Threshold; Photoionization Cross Section; Lanczos Algorithm; Rydberg Series (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-13872-0_52

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DOI: 10.1007/978-3-642-13872-0_52

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