Effective couplings between quantum resonances: application to the resonant dissociation of the 6Li7Li molecule

Author: Paidarová Ivana   Durand Philippe  

Publisher: Springer Publishing Company

ISSN: 0011-4626

Source: Czechoslovak Journal of Physics, Vol.55, Iss.2, 2005-02, pp. : 203-216

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Abstract

The theory of line profiles in spectroscopy is investigated by means of effective Hamiltonians describing simultaneously the resonances (long-lived states) and the relevant part of the continuum (short-lived states). The energies, widths and wave functions of the resonances are derived by perturbing the resonances by the continuum. Resulting simple analytical expressions allow to study the energy dependence of the dissipation rates. When this dependence is strong, for instance for interacting resonances, the physics is conveniently described by a hierarchy of weakly energy-dependent effective Hamiltonians. The resonant predissociation induced by ungerade-gerade symmetry breaking in the 6Li7Li molecule is revisited.