Algebraic treatment of three-body problems

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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

Scientific paper

10.1007/s006010050096

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.

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