Collective and Single-Particle Coordinates in Nuclear Physics
- 1 August 1971
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (8) , 1663-1674
- https://doi.org/10.1063/1.1665789
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.Keywords
This publication has 7 references indexed in Scilit:
- Statistical estimate of the breathing mode energyPhysics Letters B, 1970
- Energies of monopole vibrationsPhysics Letters B, 1970
- Unified theory of nuclear rotationsAnnals of Physics, 1970
- Configuration-Space Approach to the Four-Particle ProblemJournal of Mathematical Physics, 1969
- Configuration-Space Approach to Three-Particle ScatteringPhysical Review B, 1967
- Construction of a complete orthogonal system for the quantum-mechanical three-body problemAnnals of Physics, 1965
- COORDINATES FOR THE QUANTUM-MECHANICAL THREE-BODY PROBLEMProceedings of the National Academy of Sciences, 1964