Original scientific paper
Computation of Raynal-Revai coefficients for the hyperspherical approach to a three-body system
Md. Abdul Khan
; Department of Physics, University of Calcutta, 92, A. P. C. Road, Calcutta 700009, India
Sagar K. Dutta
; Department of Physics, University of Calcutta, 92, A. P. C. Road, Calcutta 700009, India
Tapan Kumar Das
; Department of Physics, University of Calcutta, 92, A. P. C. Road, Calcutta 700009, India
Abstract
The calculation of matrix elements of two-body interactions needed in the hyperspherical harmonics method for a three-body system is greatly simplified by expanding the bra- and ket-vector states in the hyperspherical harmonics basis states appropriate for the partition corresponding to the interacting pair. This involves the Raynal-Revai coefficients (RRC) which are the transformation coefficients between the hyperspherical harmonics bases corresponding to the two partitions. In this work, we present a fast algorithm for an accurate numerical computation of RRC. We have used this technique for two-electron atoms where the two-body interactons are purely Coulombic, and compared the results with the direct numerical integrations. Both the individual matrix element of the total interaction potential as well as the calculated binding energy agree within the computational error.
Keywords
Raynal-Revai coefficients; hyperspherical harmonics method; three-body system; matrix elements of two-body interactions
Hrčak ID:
305484
URI
Publication date:
1.12.1999.
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