Berlin 2001 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe
A: Atomphysik
A 12: Posters Thursday (Ion/Atom/Molecule/Surface Scattering)
A 12.46: Poster
Donnerstag, 5. April 2001, 12:30–15:00, AT3
Lu-Fano plots for potentials with non-Coulomb tails: application to vibrational spectra of long range diatomic molecules — •Valentin Ostrovsky1, Vyacheslav Kokoouline1,2, Eliane Luc-Koenig2, and Françoise Masnou-Seeuws2 — 1Institute of Physics, The University of St Petersburg, 198904 St Petersburg, Russia — 2Laboratoire Aimé Cotton, Bât. 505, Campus d’Orsay, 91405 Orsay Cedex, France
The multichannel quantum defect theory was originally developed for potentials with Coulomb asymptotic behavior at large distances. Generalization to non-Coulombic potentials was focused on the representation of the scattering observables in terms of a pair of functions solution of the radial equation in the long-range region. We show how one of the basic tools of quantum defect theory, namely the method to construct the famous Lu-Fano plots [1], can be extended to the potentials with general non-Coulomb asymptotes by considering only the law linking the energies and asymptotic phases to the quantum numbers and reducing the problem to that considered in Ref.[2]. This provides an efficient scheme for the analysis of molecular spectra close to dissociation limit, generalizing the Le Roy-Bernstein approach [3] to two coupled channels. The scheme is illustrated by model application mimicking Cs2 molecule [4].
[1] K. T. Lu and U. Fano, Phys. Rev. A 2, 81 (1970).
[2] Yu. N. Demkov and V. N. Ostrovsky, J. Phys. B 28, 403 (1995).
[3] R. J. Le Roy and R. B. Bernstein, J. Chem. Phys. 52, 3869 (1970).
[4] V. N. Ostrovsky, V. Kokoouline, E. Luc-Koenig and F. Masnou-Seeuws, J. Phys. B 34, January 2001.