Published July 2010
| Version v1
Journal article
Lowest eigenvalue of the nuclear shell model Hamiltonian
- 1. Nishina Center, RIKEN, Institute of Physical and Chemical Research, Hirosawa 2-1, Wako-shi, Saitama 351-0198 (Japan)
- 2. Institute of Nuclear, Particle, Astronomy and Cosmology, Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 (China)
- 3. China of Advanced Science and Technology (CCAST), World Laboratory, Post Office Box 8730, Beijing 100080 (China)
- 4. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000 (China)
- 5. Chancellor, Musashi Gakuen, 1-26-1 Toyotamakami Nerima-ku, Tokyo 176-8533 (Japan)
Description
In this paper, we investigate regular patterns of matrix elements of the nuclear shell model Hamiltonian H, by sorting the diagonal matrix elements from the smaller to the larger values. By using simple plots of nonzero matrix elements and lowest eigenvalues of artificially constructed submatrices h of H, we propose a new and simple formula, which predicts the lowest eigenvalue with remarkable precision.
Additional details
Identifiers
- DOI
- 10.1103/PhysRevC.82.014309;
- arXiv
- arXiv:1007.2254v1;
Publishing Information
- Journal Title
- Physical Review. C, Nuclear Physics
- Journal Volume
- 82
- Journal Issue
- 1
- Journal Page Range
- p. 014309-014309.4
- ISSN
- 0556-2813
- CODEN
- PRVCAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41117924
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Descriptors DEI
- EIGENVALUES; HAMILTONIANS; MATRIX ELEMENTS; NUCLEAR MODELS; SHELL MODELS
- Descriptors DEC
- MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; QUANTUM OPERATORS
Optional Information
- Notes
- (c) 2010 The American Physical Society