Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion

Abstract

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 baisc 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 Schrödinger 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.