Introduction

Abstract

Numerous experimental and theoretical investigations have confirmed the proposal that nuclei are built up of protons and neutrons [HE 32, IV 32]. Therefore it should be possible to derive all the properties of a nucleus consisting of A nucleons, or of a nuclear reaction in which A nucleons participate, from the Schrödinger equation for this A-body system

$$ \begin{array}{*{20}c} {H\Psi (\tilde r_1 , \ldots ,\tilde r_A ;t) = [ - \frac{{\hbar ^2 }} {{2M}}\sum\limits_{i = 1}^A {\nabla _i^2 V(\tilde r_1 , \ldots ,\tilde r_A )} ]\Psi (\tilde r_1 , \ldots ,\tilde r_A ;t)} \\ { = i\hbar \frac{\partial } {{\partial t}}\Psi (\tilde r_1 , \ldots ,\tilde r_A ;t),} \\ \end{array} $$

((1.1))

where r̃_i denotes the space, spin, and isobaric-spin coordinates of the i^th nucleon.