Theoretical Study of Nuclear Large-Amplitude Collective Motions based on Self-Consistent Mechanism

基于自洽机制的核大振幅集体运动理论研究

• 批准号: 60540167
• 负责人: MARUMORI Toshio
• 金额: $ 1.22万
• 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: 1985
• 资助国家: 日本
• 起止时间: 1985 至 1987
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-60540167/
• 关键词: Large-amplitude collective motion; Self-consistent collective coordinate method; Nuclear self-consistent effective interaction; 集団運動の散逸; 自己無撞着有効相互作用; ボソン展開法; 相対論的ハドロン多体論; 原子核多体問題; ハドロン多体論; 自己無撞着集団運動理論; 大振幅集団運動理論; 集団運動の安定性; 有効相互作用; 多体力; 非調和振動

A nucleus, tightly bound under the influence of strong interactions acting between constituent nucleons, is known to exhibit highly nonlinear collective motions. The goal of this Project is to develop a theory for large-amplitude collective motions based on the self-consistent mechanism inherent to the isolated many-body system; in other words to construct a new theory of nonlinear dynamics characteristic to an isolated finite quantal many-body system. The scope of our achievements will be briefly sketched.The development of a theory for a large-amplitude collective motion based on the self consistent field has been completed, and the optimal collective subspace has been determined in which generation and development of the large-amplitude nuclear collective motions can be described with applicability far beyond that in a linear approximation. Furthermore, the quantitative criteria for transition and dissipation of the collective mode is proposed in terms of the stability of the motion … More in the subspace.A theory for the self-consistent effective interactions has been developed by imposing strict self-consistency in the change of an average field when collective excitations take place. The higher-order effective interactions thus derived represent nonlinear particle-collective couplings characteristic to a nuclear system, and they have been confirmed in the numerical application to realisticnuclei in terms of the improved boson expansion and the cranking theory.A more fundamental approach to derive effective interactions which are self-consistent to collective excitations has been set forth starting from the first principle. The origin of higherorder correlations and interactions has been found to be closely related to non-linearity of collective motions.A picture of a nucleus becomes that of a more general isolated hadronic many-body system especially when intermediate energy probes are used to study the state of a nuclear system. The development of a theory of a self-consistent relativistic hadronic many-body system has been initiated including pionic degrees of freedom, and the effects originated from pionic degrees of freedom are shown to be quite important.In summary, without metioning the accomplishments that are better than expected, many of the works set forth in this Project in fact are quite unique and original and will find more possible extensions and applications. Less

在核核之间作用的强相互作用的影响下紧密结合的核us是极度非线性集体运动。该项目的目的是基于基于孤立的多体系统的自洽机制来开发一个理论，以针对大振幅集体动作发展。换句话说，以构建孤立有限量化多体系统的非线性动力学的新理论。我们的成就范围将简要概述。基于自我一致领域的大振幅集体运动的理论的发展已经完成，并且已经确定了最佳的集体子空间，在哪种基于自我振幅的核集体运动的产生和发展可以在远远超越线性近似值的情况下以适用性描述。此外，提出了集体模式过渡和耗散的定量标准，就运动的稳定性而提出……在子空间中更多。在集体激励发生时，已经在平均场地的变化中施加了严格的自我一致性来开发自持有效相互作用的理论。如此得出的高阶有效相互作用代表了核系统特征的非线性颗粒 - 聚集耦合，并且在对现实的nuclei的数值应用中已证实，就波森的扩展和曲柄理论而言，它们是对集体兴奋的有效互动的更基本的方法，从而获得了共同的兴奋，这是从首次开始的，这是一种自我概念的。高阶相关性和相互作用的起源与集体动议的非线性密切相关。核的图片变成了更一般的孤立的雄性雄性多体系统的图像，尤其是在使用中间能量问题来研究核系统状态时。已经启动了一种自谐的相对论性强种多体系统的理论的发展，包括开创性的自由度，并且从pion型自由程度上产生的效果被证明非常重要。简单地说，如果没有用药，就没有预期的是，实际上，在这个项目中，许多工程在实际上是相当独特的和原始的，并且可以更加独特，并且会发现更多的分量和应用程序和应用程序。较少的

项目成果

M,Cauvin: Physics Letters.

M，考文：《物理快报》。

Yukio Hashimoto: "Optimum Collective Submanifold in Resonant Cases by the Self-Consistent Collective-Coordinate Method for Large-Amplitude Collective Motion" Progress of Theoretical Physics. 78. 1364-1391 (1987)

桥本幸雄：“大振幅集体运动的自洽集体坐标法在共振情况下的最优集体子流形”理论物理进展。

T.Kishimoto: Progress of Theoretical Physics. 77. 332-346 (1987)

T.Kishimoto：理论物理学的进展。

橋本幸男: Progress of Theoretical Physics. 78. 1364-1391 (1987)

桥本幸雄：理论物理学进展。78。1364-1391（1987）

岸本照夫: Proceedings of the International Symposium on Hot Nuclei(Texas A&M,USA). (1988)

Teruo Kishimoto：国际热核研讨会论文集（美国德克萨斯农工大学）（1988）。