English

Algebraic treatment of three-body problems

Nuclear Theory 2009-10-30 v2 High Energy Physics - Phenomenology Chemical Physics

Abstract

We discuss an algebraic treatment of three-body systems in terms of a U(7) spectrum generating algebra. In particular, we develop the formalism for nonlinear configurations and present an algebraic description of vibrational and rotational excitations of symmetric (X_3) and asymmetric tops (XY_2 and XYZ). The relevant point group symmetry is incorporated exactly.

Keywords

Cite

@article{arxiv.nucl-th/9704030,
  title  = {Algebraic treatment of three-body problems},
  author = {R. Bijker and A. Leviatan},
  journal= {arXiv preprint arXiv:nucl-th/9704030},
  year   = {2009}
}

Comments

revised and updated version: 14 pages, 2 figures. Few-Body Systems, in press

R2 v1 2026-07-22T18:42:30.328Z