Collective and Single-Particle Coordinates in Nuclear Physics

Abstract

The Schrödinger equation of A nucleons is transformed to new coordinates. Six of them have collective nature and 3A − 9 are single-particle coordinates. The connection is given to the conventional collective model in which five collective coordinates are used. The additional sixth collective coordinate of this paper gives a simple description of monopole vibrations. The new coordinates can also be used in the theory of nuclear reactions: By introducing a symmetrized distance vector for reaction partners, the antisymmetrization procedure is simplified considerably.