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Calculation of resonances by analytical continuation: role of asymptotic behavior of coupling function

Bárta T., Horáček J.

The regularized analytical continuation method (RAC) counts among the most powerful modern method for determination of resonance energies and resonance widths of low energy atomic and molecular systems including large systems of biological importance. By this method the
resonance state is transformed into bound state by addition of an attractive potential. In this paper the choice of the perturbation potential is discussed and the performance of the method studied using model potential. It is shown that for correct applications of the RAC method the
knowledge of the asymptotic behavior of the basic ingredient of the method, the coupling function λ(κ), is important. In this paper we find the correct asymptotic form of λ(κ) for broad class of realistic potentials and for nonzero values of angular momentum. New RAC formula
convenient for singular perturbation potentials is proposed.
type:article
journal:Physica Scripta
volume:95
nr:6
pages:065401
year:2020
grants:Electron-driven atomic and molecular processes - development of ab initio methods, GAČR 19-20524S; 2019-2021; hlavní řešitel: Martin Čížek
files:
physicascripta.95.065401_horacek.pdf (502.67 kB)

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