1998/05/07 by Ch. Elster, W. Schadow, A. Nogga +2 · 2 citations
Physics and Astronomy · #Atomic and Molecular Physics #Nuclear physics research studies #Quantum Mechanics and Non-Hermitian Physics #nucl-th
paper · pdf · doi:10.1007/s006010050124
published as Few Body Syst. 27 (1999) 83-105 · 26 pages (9 postscript figures included), uses RevTeX and psfig
arxiv created 1998/05/07 · openalex publication_date 1999/11/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
The Faddeev equations for the three body bound state are solved directly as three dimensional integral equation without employing partial wave decomposition. The numerical stability of the algorithm is demonstrated. The three body binding energy is calculated for Malfliet-Tjon type potentials and compared with results obtained from calculations based on partial wave decomposition. The full three body wave function is calculated as function of the vector Jacobi momenta. It is shown that it satisfies the Schrödinger equation with high accuracy. The properties of the full wave function are displayed and compared to the ones of the corresponding wave functions obtained as finite sum of partial wave components. The agreement between the two approaches is essentially perfect in all respects.