Semiclassical description of a triaxial rigid rotor

Journal Article · Sat Dec 15 00:00:00 EST 2007 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.76.064309· OSTI ID:21067966

Raduta, A A ^[1]; Budaca, R; Raduta, C M ^[1]

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1. Institute of Physics and Nuclear Engineering, Bucharest, P. O. Box MG6 (Romania)

A triaxial rotor Hamiltonian is treated by a time-dependent variational principle, using a coherent state as a trial function. The critical points of the constant energy surface depend on the ordering relations satisfied by the three moments of inertia. All three orderings are considered and to each of them a specific wobbling frequency is derived. The transition between two distinct phases is discussed in terms of a cranking Hamiltonian. Four distinct pairs of complex canonical phase-space coordinates are pointed out. Each of them yields, after quantization, a distinct boson expansion for the angular-momentum components. The separation of the potential energy is treated for one of the four phase-space bases. One of the semiclassical descriptions is used for the yrast state energies of {sup 158}Er and an excellent agreement with experimental data is obtained up to very high angular momentum.

• OSTI ID: 21067966
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 76, Issue 6; Other Information: DOI: 10.1103/PhysRevC.76.064309; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
ANNIHILATION OPERATORS
BOSON EXPANSION
CRANKING MODEL
EIGENSTATES
ERBIUM 158
HAMILTONIANS
MOMENT OF INERTIA
NUCLEAR STRUCTURE
PARTICLE-CORE COUPLING MODEL
PHASE SPACE
POTENTIAL ENERGY
QUANTIZATION
SEMICLASSICAL APPROXIMATION
TIME DEPENDENCE
VARIATIONAL METHODS
YRAST STATES