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- Title
Raynal-Revai coefficients for a general kinematic rotation.
- Authors
Ershov, S.
- Abstract
In a three-body system, transitions between different sets of normalized Jacobi coordinates are described as general kinematic transformations that include an orthogonal or a pseudoorthogonal rotation. For such rotations, the Raynal-Revai coefficients execute a unitary transformation between three-body hyperspherical functions. Recurrence relations that make it possible to calculate the Raynal-Revai coefficients for arbitrary angular momenta are derived on the basis of linearized representations of products of hyperspherical functions.
- Subjects
COEFFICIENTS (Statistics); KINEMATICS; THREE-body problem; PHASE transitions; HYPERSPHERICAL method; ROTATIONAL motion
- Publication
Physics of Atomic Nuclei, 2016, Vol 79, Issue 6, p1010
- ISSN
1063-7788
- Publication type
Article
- DOI
10.1134/S1063778816060089