Theoretical Study of the Dynamics of Nuclear Self-Consistent Fields

1. 采用时间相关Haxtree-Fock（TDHF）理论框架下的自洽集体坐标（SCC）方法，在工作站上对一个简单模型中多种物体状态轨迹的动力学行为进行了数值模拟。这项研究阐明了规则运动的不稳定性与非线性共振的发生密切相关；共振重新组织了另一种规则的i概念。在存在密集的非线性共振集的条件下，集体运动表现出耗散行为。本文还对SCC方法的量子公式进行了数值模拟，结果与TDHF情况吻合较好。(1)将SCC方法应用于核集体旋转，并对地面旋转带进行了数值计算；结果表明，与振动和低洼离子集合体模式的耦合改变了集合体的特性。(2)将自洽有效相互作用理论应用于核平均场中存在速度相关项的情况。结果表明，导出的相互作用对集体旋转有很大的影响。自洽有效的三体相互作用在维持共存集体模式的完整性方面发挥了重要作用。(3)用发生器坐标法跟踪了带端集体旋转向非集体旋转的转变。对于有限核作为相对论强子多体系统，提出了包含介子产生的核-核关系的自洽场概化理论，并通过相对论波包展开的数值计算证实了其有效性。为了研究有限核中相对论Hartree态的稳定性，建立了一个时变广义自洽场的形式；这项研究阐明了必须考虑负能态的核子。综上所述，这个项目在这个小组最初提出的理论的基础上，进行了许多扩展和应用，并为此做了准备。理论的未来发展。少

1. Applying the self-consistent collective coordinate(SCC)method within the framework of the time-dependent Haxtree-Fock(TDHF)theory, the dynamical behavior of trajectories of many body states in a simple model was numerically simulated on the workstation. This investigation clarified that the instability of a regular motion is closely connected with the occurrence of non-linear resonances ; the resonances reorganize another type of regular i-notion. Under the condition that there exists a dense set of non-linear resonances, the collective motion exhibits dissipative behavior. The numerical simulations for the quantal formulation of the SCC method have also been carried out, which show a good correspondence to those in the TDHF case.2. (1)The SCC method was applied to nudeer collective rotation and the numerical calculation for the ground rotational band was carried out ; it has made dear that the couplings to vibrational and low-lying ioncollective modes modify the property of collect … More ive rotation.(2)The theory for the self-consistent effective interactions was applied to the case that there are velocity-dependent terms in the nuclear mean field. It was shown that the derived interactions give large effects on collective rotation. The self-consistent effective three-body interaction was shown to play an essential role in maintaining the integrity of coexistent collective modes.(3)The transition of collective to noncollective rotation at the band termination was followed y the generator coordinate method.3. For finite nuclei as relativistic hadronic many-body systems, a theory for generalizing self-consistent field which incorporates nucleon-nucleoft(lorrelations generated by mesons was formulated, and its effectiveness was confirmed by numerical calculation using relativistic wavepacket expansion. The formalism for a time-dependent generalized self-consistent field was also developed to investigate the stability of the relativistic Hartree state in finite nuclei ; this investigation clarified that it is inevitable to take nucleons in negative-energy states into account.In summary, this project, based on the theories which were proposed originally by this group, has carried out many extensions and applications and prepared for. the future development of the theories. Less