Abstract
Resonances of three-body Coulomb systems are investigated in two and three dimensions. The complex scaling method combined with the stochastic variational approach has been used to calculate the position (energy and width) of the resonance states. The dependence of the resonance states on the mass ratio of the constituents and the dimensionality of the space is studied. It is found that the width of the resonance states behaves very differently in 2D and 3D for molecule-like cation systems. The calculated lifetimes of the resonances are in the nano- and picosecond region, and these states might be experimentally observable in excitonic trions in semiconductor quantum dots.
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