Published 2019
| Version v1
Journal article
Connection between Elliott SU(3) and Spherical Shell Model bases
- 1. Institute of Nuclear and Particle Physics, National Centre for Scientific Research (Greece)
- 2. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia (Bulgaria)
Description
In the Elliott SU(3) symmetry scheme the single particle basis is derived from the isotropic harmonic oscillator Hamiltonian in the Cartesian coordinate system. These states are transformed into the solutions of the same Hamiltonian within the spherical coordinate system. Then the spin-orbit coupling can be added in a straightforward way. The outcome is a transformation between the Elliott single particle basis and the spherical shell model space.
Additional details
Identifiers
Publishing Information
- Journal Title
- Bulgarian Journal of Physics (Print)
- Journal Volume
- 46
- Journal Issue
- 4
- Journal Page Range
- p. 337-346
- ISSN
- 1310-0157
INIS
- Country of Publication
- Bulgaria
- Country of Input or Organization
- Bulgaria
- INIS RN
- 51064456
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Descriptors DEI
- CARTESIAN COORDINATES; HAMILTONIANS; HARMONIC OSCILLATORS; L-S COUPLING; SHELL MODELS; SPHERICAL CONFIGURATION; SU-3 GROUPS
- Descriptors DEC
- CONFIGURATION; COORDINATES; COUPLING; INTERMEDIATE COUPLING; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; QUANTUM OPERATORS; SU GROUPS; SYMMETRY GROUPS
Optional Information
- Notes
- Available from http://www.bjp-bg.com/papers/bjp2019_4_337-346.pdf