Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion
Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion
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DOI：
10.1143/ptp.64.1294
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发表时间：
1980-10
影响因子：
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通讯作者：
T. Marumori;T. Maskawa;F. Sakata;A. Kuriyama
中科院分区：
文献类型：
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作者：
T. Marumori;T. Maskawa;F. Sakata;A. Kuriyama
这是第二次在一系列的文件，打算制定一个新的微观理论本身能够选择“最佳”集体的道路，或更一般地说，“最佳”集体子流形在多粒子希尔伯特空间。本文的主要内容包括：（1）从导致集体模和内禀模之间“最大解耦”的基本原理（称为“薛定谔方程的不变性原理”）出发，重述了理论的基本方程; ii）针对大振幅、高度非线性的情况，提出了一种以适当方式求解基本方程的方法，关于Hartree-Fock基态的线性集体振动，具有球对称平衡。
This is the second in a series of papers which intends to develop a new microscopic theory capable by itself to select the "optimum" collective path or, more generally, the "optimum" collective submanifold in the many-particle Hilbert space. The main content of this paper consists of i) a restatement of the basic equations of the theory, derived from the fundamental principle which leads us to the "maximal decoupling" between the collective and intrinsic modes and is called the "invariance principle of the Schrodinger equation", and ii) a proposal of a method of solving the basic equations in an appropriate way for the large amplitude and highly non-linear collective vibrations about the Hartree-Fock ground state with a spherically symmetric equilibrium.