The nuclear scissors mode from various aspects
- Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region (Russian Federation)
- Institut de Physique Nucleaire, Orsay Cedex 91406 (France)
Three methods to describe collective motion, random phase approximation (RPA), Wigner function moments (WFM) and the Green's Function (GF) method are compared in detail and their physical content analyzed on an example of a simple model, the harmonic oscillator with quadrupole-quadrupole residual interaction. It is shown that they give identical formulae for eigenfrequencies and transition probabilities of all collective excitations of the model, including the scissors mode, which is the subject of our special attention. The exact relation between the RPA and WFM variables and the respective dynamical equations is established. The transformation of the RPA spectrum into the one of WFM is explained. The very close connection of the WFM method with the GF one is demonstrated. The normalization factor of the 'synthetic' scissors state and its overlap with physical states are calculated analytically. The orthogonality of the spurious state to all physical states is proved rigorously. A differential equation describing the current lines of RPA modes is established and the current lines of the scissors mode analyzed as a superposition of rotational and irrotational components.
- OSTI ID:
- 20976733
- Journal Information:
- Annals of Physics (New York), Vol. 322, Issue 2; Other Information: DOI: 10.1016/j.aop.2006.04.014; PII: S0003-4916(06)00100-X; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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