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Microscopic Study of Non-Linear Collective Motions in Yrast Region of Medium-Heavy Nuclei

中重核Yrast区非线性集体运动的微观研究

基本信息

批准号：
63540222
负责人：
TAKADA Kenjiro
金额：
$ 0.51万
依托单位：
Kyushu University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1988
资助国家：
日本
起止时间：
1988 至 1990
项目状态：
已结题

项目摘要

The purpose of the present project is to establish the theoretical framework to renormalize the kinematical and dynamical anharmonicity effects in the yrast region of medium-heavy nuclei, and to analyze the collective motions in both the low and high spin states using this theory.As approaches from the side of low-spin region,1. We analyzed the collective motions in the low-spin region by using the Dyson boson mapping method on the basis of spherical basis vectors.2. We established the theory of the Dyson-type self-consistent-collective-coordinate method, which is, so to say, a dynamical boson expansion theory to renormalize non-linear coupling effects into collective coordinates. Using this theory, we analyzed the shape transition phenomena in the Sm isotopes.As approaches from the side of high-spin region,3. to make a unified description of rotation, vibration and rotation-aligned single-quasiparticle mode, we established a "rotating shell model + RPA + quasiparticle-vibration-rotation coupling model" on the basis of deformed basis vectors.Using this model, we investigated the super-deformed rotational bands, pairing phase transitions, and anomalies of E2-M1 transitions in the quasiparticle-rotation bands in the very high spin states.In order to treat soft-deformation effects, we generalized the boson mapping method to be capable to renormalize higher-order coupling effects, and applied it to the description of unclear wobbling motion.In addition to these, we were successful to develop the computer programs for algebraic manipulation of angular momentum coupling in quantum mechanics. These programs would be very useful in the many fields of quantum physics.

本项目的目的是建立重正化中重核yrast区运动学和动力学非谐性效应的理论框架，并利用该理论分析低自旋和高自旋态的集体运动。利用基于球基矢量的Dyson玻色子映射方法分析了低自旋区的集体运动.我们建立了Dyson型自洽集体坐标方法的理论，即把非线性耦合效应重整化到集体坐标的动力学玻色子展开理论。利用这一理论，我们分析了Sm同位素的形状转变现象。为了统一描述旋转、振动和旋转取向的单准粒子模，我们在变形基矢的基础上建立了“旋转壳模型+ RPA +准粒子-振动-旋转耦合模型”，利用该模型研究了超变形旋转带、配对相变以及在甚高自旋态准粒子转动带中的E_2-M_1跃迁的反常.为了处理软形变效应，我们推广了玻色子映射方法，使其能够重整化高阶耦合效应，并将其应用于描述不清晰的摆动运动。除此之外，我们成功地开发了量子力学中角动量耦合代数操作的计算机程序。这些程序在量子物理学的许多领域都非常有用。