Matrix elements of two-body operators between many-body symmetrized hyperspherical states

Akiva Novoselsky*, Nir Barnea

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

Matrix elements of two-body operators between many-particle permutational symmetry-adapted functions in hyperspherical coordinates are constructed. The matrix elements are evaluated using the appropriate hyperspherical coefficients of fractional parentage, the Raynal-Revai coefficients, and the hyperspherical recoupling coefficients. We use the power expansion of the two-body operators and obtain an analytic expression for the matrix element of each term. These expressions are studied numerically. The results allow precise evaluations of two-body matrix elements for few-body calculations in nuclear, atomic, and molecular physics.

Original languageAmerican English
Pages (from-to)2777-2784
Number of pages8
JournalPhysical Review A
Volume51
Issue number4
DOIs
StatePublished - 1995

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