Nonlinear resonance in the time-dependent Hartree-Fock manifold

Journal Article · Fri Jul 01 04:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.50.138· OSTI ID:7033091

Sakata, F; Kubo, T; Marumori, T; Iwasawa, K; Hashimoto, Y ^[1]

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1. Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188 (Japan) Department of Physics, Faculty of Science, Science University of Tokyo, Toky o 162 (Japan) Institute of Physics, University of Tsukuba, Ibaraki 305 (Japan)

In order to try to open a new scope to explore the mutual dependence between the single-particle and collective modes of motion near to the level crossing region, a general method is developed to investigate the nonlinear resonant structure of the time-dependent Hartree-Fock (TDHF) manifold, without depending on the [ital adiabatic] [ital assumption]. By using the Lie canonical transformation method with the Deprit perturbation treatment, in this method, the [ital maximal] [ital integrable[minus]form] [ital representation] of the TDHF manifold is introduced. This representation plays an essential role in exploring the nonlinear resonant structure of the TDHF manifold, which characterizes complex topology of the manifold. Aiming at relating the nonlinear resonance in the TDHF manifold with the dynamics between the single-particle and collective modes of motion near to the level crossing region, structure of the TDHF wave function in the nonlinear resonant region is investigated. It is clarified that an isolated nonlinear resonant region of the TDHF manifold is characterized by a local constant of motion (dynamical symmetry) and generates a new type of dynamical stable single-Slater-determinant states, which is topologically different from the TDHF states near the HF ground state, and cannot be reached by the conventional static Hartree-Fock method, constrained Hartree-Fock method, nor the [ital adiabatic] TDHF theories. One may expect that the appearance mechanism of the new dynamical stable single-Slater-determinant states gives us a new scope for understanding occurrence mechanism of a variety of collective sideband structure near to the level crossing region.

• OSTI ID: 7033091
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 50:1; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663110 -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
663120* -- Nuclear Structure Models & Methods-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CALCULATION METHODS
COLLECTIVE MODEL
HARTREE-FOCK METHOD
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
NUCLEAR MODELS
RESONANCE
SLATER METHOD
TIME DEPENDENCE