Theoretical Study of the Dynamics of Nuclear Self-Consistent Fields

1.应用含时Haxtree-Fock（TDHF）理论框架下的自洽集体坐标（SCC）方法，在工作站上数值模拟了一个简单模型中多种体态轨道的动力学行为。这项研究澄清了规则运动的不稳定性与非线性共振的发生密切相关;共振重组了另一种类型的规则i概念。在存在稠密非线性共振的条件下，集体运动表现出耗散行为。对SCC方法的量子形式进行了数值模拟，结果与TDHF方法的量子形式有很好的一致性.（1）将SCC方法应用于核集体转动，对基态转动带进行了数值计算，明确了振动模和低激发态离子集体模的耦合对集体转动性质的影响。 ...更多信息 iverotation.（2）将自洽有效相互作用理论应用于核平均场中存在速度依赖项的情况。结果表明，导出的相互作用给集体旋转的大的影响。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起着至关重要的作用。（3）用生成坐标法跟踪了带端集体转动到非集体转动的转变.对于相对论性强子多体系统的有限核，建立了一个包含介子产生的核子-核相互作用的广义自洽场理论，并用相对论性波包展开进行了数值计算，验证了该理论的有效性.发展了含时广义自洽场的形式，研究了有限核中相对论性Hartree态的稳定性，阐明了考虑负能态核子的必然性。总之，本课题在本课题组最初提出的理论基础上，进行了许多推广和应用，并为进一步的研究做好了准备。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