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Total photoionization cross section of planar helium: scaling laws and collision orbits

Lee, Min-Ho; Byun, Chang Woo; Choi, Nark Nyul; Tanner, Gregor

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Authors

Min-Ho Lee

Chang Woo Byun

Nark Nyul Choi

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GREGOR TANNER GREGOR.TANNER@NOTTINGHAM.AC.UK
Professor of Applied Mathematics



Abstract

The total photoionization cross section of planar helium has been calculated up to the single ionization threshold I22 of triple P states. The cross section shows chaotic fluctuations as the energy E approaches the double ionization threshold E=0. By analyzing the fluctuating part of the cross section, we show that its amplitude decreases as ?E? mu for E-> 0- as predicted in Byunet al(2007 Phys. Rev. Lett., 98, 113001). The Fourier transform of the fluctuating part reveals peaks at the classical actions of closed triple collision orbits. Furthermore, the relative height of the peaks is consistent with the semiclassical predictions. Our findings underline that the fluctuating part of the photoionization cross section can be described by classical triple collision orbits in the semiclassical limit. These orbits all lie in the collinear eZe subspace, demonstrating that the fluctuations are dominated by the dynamics of this low dimensional phase space.

Citation

Lee, M., Byun, C. W., Choi, N. N., & Tanner, G. (2018). Total photoionization cross section of planar helium: scaling laws and collision orbits. Journal of Physics B: Atomic, Molecular and Optical Physics, 51(18), Article 185001. https://doi.org/10.1088/1361-6455/aad8e2

Journal Article Type Article
Acceptance Date Aug 8, 2018
Online Publication Date Aug 28, 2018
Publication Date Sep 28, 2018
Deposit Date Oct 18, 2018
Publicly Available Date Aug 29, 2019
Journal Journal of Physics B: Atomic, Molecular and Optical Physics
Print ISSN 0953-4075
Electronic ISSN 1361-6455
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 51
Issue 18
Article Number 185001
DOI https://doi.org/10.1088/1361-6455/aad8e2
Keywords Atomic and Molecular Physics, and Optics; Condensed Matter Physics
Public URL https://nottingham-repository.worktribe.com/output/1174985
Publisher URL http://iopscience.iop.org/article/10.1088/1361-6455/aad8e2

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