Published March 2004
| Version v1
Journal article
Hyperspherical harmonics with orthogonal symmetry in the shell model approach and its application to light nuclei
Creators
- 1. Physics Department, University of Surrey, Guildford, Surrey GU2 7XH (United Kingdom)
Description
A method is proposed for constructing fully antisymmetric A-body hyperspherical harmonics with well-defined orthogonal symmetry. These hyperspherical harmonics are obtained by diagonalizing the matrix of the second Casimir operator for the orthogonal group, calculated in the hyperspherical basis constructed with the help of the Slater determinants of the oscillator translation-invariant shell model. The introduction of orthogonal symmetry has computational benefits and also provides a physical insight into collective modes of motion of atomic nuclei. Numerical applications have been performed for 3-5,7H and 4-10He
Additional details
Identifiers
Publishing Information
- Journal Title
- Physical Review. C, Nuclear Physics
- Journal Volume
- 69
- Journal Issue
- 3
- Journal Page Range
- p. 034336-034336.9
- ISSN
- 0556-2813
- CODEN
- PRVCAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36023491
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Descriptors DEI
- CASIMIR OPERATORS; HARMONICS; HELIUM 10; HELIUM 5; HELIUM 6; HELIUM 8; HYDROGEN 4; HYDROGEN 5; HYDROGEN 7; NUCLEAR STRUCTURE; OSCILLATORS; SHELL MODELS; SLATER METHOD; SYMMETRY
- Descriptors DEC
- ALPHA DECAY RADIOISOTOPES; BETA DECAY RADIOISOTOPES; BETA-MINUS DECAY RADIOISOTOPES; CALCULATION METHODS; ELECTRONIC EQUIPMENT; EQUIPMENT; EVEN-EVEN NUCLEI; EVEN-ODD NUCLEI; HELIUM ISOTOPES; HYDROGEN ISOTOPES; ISOTOPES; LIGHT NUCLEI; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MILLISECONDS LIVING RADIOISOTOPES; NUCLEAR MODELS; NUCLEI; ODD-EVEN NUCLEI; ODD-ODD NUCLEI; OSCILLATIONS; RADIOISOTOPES
Optional Information
- Notes
- (c) 2004 The American Physical Society