Nuclear rotational--vibrational collective motion with nonvanishing vortex-spin

Journal Article · Wed Dec 01 04:00:00 EST 1976 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(76)90177-9· OSTI ID:7120055

Weaver, O L; Cusson, R Y; Biedenharn, L C

The theory of linear collective motion is developed by the method of canonical transformations;the earlier results of Casimir, Bohr--Mottelson, and Villars are recovered, as special cases. In the approximation of constant Eckart-frame vectors, the kinetic energy Hamiltonian is shown to commute with the invariant operators of the collective motion symmetry group CM(3). The collective motion approach of Tomonaga and the symmetry approach of Gell--Mann are discussed and shown to be essentially equivalent, and to be properly contained in the CM(3) structure. The invariant operators of CM(3) are determined and shown to imply two invariants for nuclear collective motion: the volume ..lambda.. and the vortex-spin ..nu... Representations of CM (3) are obtained and related to wave functions of the generator-coordinate form.

• Research Organization: Department of Physics, Kansas State University, Manhattan, Kansas 66506
• OSTI ID: 7120055
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 102:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
CANONICAL TRANSFORMATIONS
COLLECTIVE MODEL
FLUID FLOW
FUNCTIONS
HAMILTONIANS
IRREDUCIBLE REPRESENTATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
QUANTUM OPERATORS
STRUCTURE FUNCTIONS
SYMMETRY GROUPS
VORTEX FLOW