Breakup of the aligned H{sub 2} molecule by xuv laser pulses: A time-dependent treatment in prolate spheroidal coordinates
- Department of Physics and Astronomy, Drake University, Des Moines, Iowa 50311 (United States)
- Physics Division, National Science Foundation, Arlington, Virgina 22230 (United States)
We have carried out calculations of the triple-differential cross section for one-photon double ionization of molecular hydrogen for a central photon energy of 75 eV, using a fully ab initio, nonperturbative approach to solve the time-dependent Schroedinger equation in prolate spheroidal coordinates. The spatial coordinates {xi} and {eta} are discretized in a finite-element discrete-variable representation. The wave packet of the laser-driven two-electron system is propagated in time through an effective short iterative Lanczos method to simulate the double ionization of the hydrogen molecule. For both symmetric and asymmetric energy sharing, the present results agree to a satisfactory level with most earlier predictions for the absolute magnitude and the shape of the angular distributions. A notable exception, however, concerns the predictions of the recent time-independent calculations based on the exterior complex scaling method in prolate spheroidal coordinates [L. Tao et al., Phys. Rev. A 82, 023423 (2010)]. Extensive tests of the numerical implementation were performed, including the effect of truncating the Neumann expansion for the dielectronic interaction on the description of the initial bound state and the predicted cross sections. We observe that the dominant escape mode of the two photoelectrons depends dramatically on the energy sharing. In the parallel geometry, when the ejected electrons are collected along the direction of the laser polarization axis, back-to-back escape is the dominant channel for strongly asymmetric energy sharing, while it is completely forbidden if the two electrons share the excess energy equally.
- OSTI ID:
- 21544646
- Journal Information:
- Physical Review. A, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevA.83.043403; (c) 2011 American Institute of Physics; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ANGULAR DISTRIBUTION
ASYMMETRY
BOUND STATE
DIFFERENTIAL CROSS SECTIONS
EV RANGE
EXTREME ULTRAVIOLET RADIATION
FINITE ELEMENT METHOD
HYDROGEN
IONIZATION
LASER RADIATION
MOLECULES
PHOTONS
POLARIZATION
SCHROEDINGER EQUATION
SERIES EXPANSION
SPHERICAL CONFIGURATION
SYMMETRY
TIME DEPENDENCE
WAVE PACKETS
BOSONS
CALCULATION METHODS
CONFIGURATION
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
ELEMENTS
ENERGY RANGE
EQUATIONS
MASSLESS PARTICLES
MATHEMATICAL SOLUTIONS
NONMETALS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
ULTRAVIOLET RADIATION
WAVE EQUATIONS