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Title: Coulomb-Sturmian separable expansion approach: Three-body Faddeev calculations for Coulomb-like interactions

Abstract

We demonstrate the feasibility and efficiency of the Coulomb-Sturmian separable expansion method for generating accurate solutions of the Faddeev equations. Results obtained with this method are reported for several benchmark cases of bosonic and fermionic three-body systems. Correct bound-state results in agreement with the ones established in the literature are achieved for short-range interactions. We outline the formalism for the treatment of three-body Coulomb systems and present a bound-state calculation for a three-boson system interacting via Coulomb plus short-range forces. The corresponding result is in good agreement with the answer from a recent stochastic-variational-method calculation. {copyright} {ital 1996 The American Physical Society.}

Authors:
 [1];  [2]
  1. Institute of Nuclear Research of the Hungarian Academy of Sciences, Bem ter 18/c, P.O. Box 51, H--4001 Debrecen (Hungary)
  2. Institute for Theoretical Physics, University of Graz, Universitaetsplatz 5, A-8010 Graz (Austria)
Publication Date:
OSTI Identifier:
286182
Resource Type:
Journal Article
Journal Name:
Physical Review, C
Additional Journal Information:
Journal Volume: 54; Journal Issue: 1; Other Information: PBD: Jul 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; FADDEEV EQUATIONS; ANALYTICAL SOLUTION; COULOMB FIELD; EXPANSION; THREE-BODY PROBLEM; BOUND STATE; VARIATIONAL METHODS

Citation Formats

Papp, Z, and Plessas, W. Coulomb-Sturmian separable expansion approach: Three-body Faddeev calculations for Coulomb-like interactions. United States: N. p., 1996. Web. doi:10.1103/PhysRevC.54.50.
Papp, Z, & Plessas, W. Coulomb-Sturmian separable expansion approach: Three-body Faddeev calculations for Coulomb-like interactions. United States. https://doi.org/10.1103/PhysRevC.54.50
Papp, Z, and Plessas, W. Mon . "Coulomb-Sturmian separable expansion approach: Three-body Faddeev calculations for Coulomb-like interactions". United States. https://doi.org/10.1103/PhysRevC.54.50.
@article{osti_286182,
title = {Coulomb-Sturmian separable expansion approach: Three-body Faddeev calculations for Coulomb-like interactions},
author = {Papp, Z and Plessas, W},
abstractNote = {We demonstrate the feasibility and efficiency of the Coulomb-Sturmian separable expansion method for generating accurate solutions of the Faddeev equations. Results obtained with this method are reported for several benchmark cases of bosonic and fermionic three-body systems. Correct bound-state results in agreement with the ones established in the literature are achieved for short-range interactions. We outline the formalism for the treatment of three-body Coulomb systems and present a bound-state calculation for a three-boson system interacting via Coulomb plus short-range forces. The corresponding result is in good agreement with the answer from a recent stochastic-variational-method calculation. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevC.54.50},
url = {https://www.osti.gov/biblio/286182}, journal = {Physical Review, C},
number = 1,
volume = 54,
place = {United States},
year = {1996},
month = {7}
}