22aSA-2 Hartree-Fock-Bogoliubov理論に基づく連続状態Green関数の変形核への拡張(22aSA 平均場理論,理論核物理領域)

修一郎 江幡, Takashi Nakatsukasa, 恒法 稲倉 +2 more

正明 尾崎

Fumihiko Sakata, T. Kubo, Toshio Marumori +2 more

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 adiabatic assumption. By using the Lie canonical transformation method with the Deprit perturbation treatment, in this method, the maximal integrable-form 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 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.

小林正人, 武次徹也

George Rosensteel, DAVID J. ROWE

Hartree-Fock (HF) theory is generalized so as to apply to nondeterminantal densities, while retaining the fundamental HF restriction to one-body dynamics. Time development in conventional time-dependent Hartree-Fock and its extension are identical to classical Hamiltonian dynamics.

佳祐 志田, 宏昌 大西, 憲一 富田