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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. 在含时Haxtree-Fock（TDHF）理论框架内应用自洽集体坐标（SCC）方法，在工作站上对简单模型中多种身体状态轨迹的动力学行为进行数值模拟。这项研究表明，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类型的常规 i 概念。在存在密集的非线性共振的情况下，集体运动表现出耗散行为。对SCC方法的量子公式也进行了数值模拟，结果与TDHF情况有很好的对应关系。 2． (1)将SCC方法应用于裸体集体旋转，并对地面旋转带进行数值计算；众所周知，振动和低位离子集体模式的耦合改变了集体旋转的性质。（2）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，衍生的相互作用对集体轮换产生很大影响。自洽的有效三体相互作用被证明在维持共存集体模式的完整性方面发挥着重要作用。(3)采用生成坐标法实现带终止处集体旋转到非集体旋转的转变。3．对于作为相对论强子多体系统的有限核，提出了一种包含介子产生的核子-核关系的广义自洽场理论，并通过使用相对论波包展开的数值计算证实了其有效性。原子核；综上所述，本课题在本课题组最初提出的理论基础上，进行了多次推广和应用，并做好了准备。理论的未来发展。少