Scaling laws for the photoionization cross section of two-electron atoms
- Authors
- Byun, Chang Woo; Choi, Nark Nyul; Lee, Min-Ho; Tanner, Gregor
- Issue Date
- 16-Mar-2007
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW LETTERS, v.98, no.11
- Journal Title
- PHYSICAL REVIEW LETTERS
- Volume
- 98
- Number
- 11
- URI
- https://scholarworks.bwise.kr/kumoh/handle/2020.sw.kumoh/3268
- DOI
- 10.1103/PhysRevLett.98.113001
- ISSN
- 0031-9007
- Abstract
- The cross sections for single-electron photoionization in two-electron atoms show fluctuations which decrease in amplitude when approaching the double-ionization threshold. Based on semiclassical closed orbit theory, we show that the algebraic decay of the fluctuations can be characterized in terms of a threshold law sigma proportional to vertical bar E vertical bar(mu) as E -> 0(-) with exponent mu obtained as a combination of stability exponents of the triple-collision singularity. It differs from Wannier's exponent dominating double-ionization processes. The details of the fluctuations are linked to a set of infinitely unstable classical orbits starting and ending in the nonregularizable triple collision. The findings are compared with quantum calculations for a model system, namely, collinear helium.
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