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

Article

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

Bárta T., Horáček J.

Phys. Scr. 95(6), 065401 (2020)

Abstract

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.

Institute authors

Horáček, Jiří

Supported by

GACR 19-20524S — Electron-driven atomic and molecular processes - development of ab initio methods

BibTeX

@article{UTF799,
  author        = {Bárta T., Horáček J.},
  title         = {{Calculation of resonances by analytical continuation: role of asymptotic behavior of coupling function}},
  journal       = {Phys. Scr.},
  volume        = {95},
  number        = {6},
  pages         = {065401},
  year          = {2020},
  doi           = {10.1088/1402-4896/ab7941},
}