Abstract
The Lagrange-mesh method is known to be an efficient tool for evaluating the bound states of various three-body atomic and molecular systems. By combining it with the complex scaling method, resonances can also be studied. In this paper, this approach is used for evaluating several S-wave resonances of the helium atom and of the negative positronium ion in vacuum and in Debye plasmas. In spite of its simplicity, the Lagrange-mesh method provides resonance energies and widths more accurate than the best literature results.
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