Theoretical Study of the Dynamics of Nuclear Self-Consistent Fields

核自洽场动力学的理论研究

基本信息

批准号：
01540229
负责人：
MARUMORI Toshio
金额：
$ 1.6万
依托单位：
University of Tsukuba
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1989
资助国家：
日本
起止时间：
1989 至 1991
项目状态：
已结题

项目摘要

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

1。在时间依赖性的haxtree-fock（TDHF）理论的框架内应用自洽的集体坐标方法（SCC）方法，在工作站上，在简单模型中，许多身体状态的轨迹的动态行为在工作站上进行了数字模拟。这项投资阐明了常规运动的不稳定与非线性共振的发生密切相关。共鸣重组另一种常规I-Notion。在存在一组密集的非线性共振的条件下，集体运动表现出耗散行为。还进行了SCC方法的量化公式的数值模拟，这表明了与TDHF情况下的良好对应关系。2。（1）将SCC方法应用于裸体集体旋转，并进行了接地旋转带的数值计算；珍贵的是，耦合到振动和低洼的离子聚集模式会改变收集的特性……更多的旋转。（2）将自洽有效相互作用的理论应用于核平均磁场中依赖速度的术语的情况。结果表明，派生的相互作用对集体旋转产生了很大的影响。表明，自洽的有效三体相互作用在保持共存集体模式的完整性中起着至关重要的作用。（3）遵循频带终止下集体向非旋转旋转的过渡y发电机坐标方法3。 For finite nuclear as relativistic hadronic many-body systems, a theory for generalizing self-consistent field which incorporates nuclear-nucleoft(lorrelations generated by mesons was formulated, and its effectiveness was confirmed by numerical calculation using relativistic wavepacket expansion. The formatism for a time-dependent generalized self-consistent field was also developed to investigate the stability of the relativistic Hartree state in finite nuclear ; this调查澄清，不可避免地考虑了负能量状态的核子。总而言之，基于最初由该群体提出的理论，已经进行了许多扩展和应用程序