Exact Solution of the Isovector Neutron-Proton Pairing Hamiltonian

Journal Article · Fri Feb 24 00:00:00 EST 2006 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.96.0· OSTI ID:20778650

Dukelsky, J; Errea, B; Lerma, S H ^[1]; Gueorguiev, V G ^[2]; Van Isacker, P ^[3]; Dimitrova, S ^[4]

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1. Instituto de Estructura de la Materia, CSIC. Serrano 123, 28006 Madrid (Spain)
2. Lawrence Livermore National Laboratory, Livermore, California (United States)
3. Grand Accelerateur National d'Ions Lourds, BP 55027, F-14076 Caen Cedex 5 (France)
4. Institute of Nuclear Research and Nuclear Energy, BAS, Sofia 1784 (Bulgaria)

The complete exact solution of the T=1 neutron-proton pairing Hamiltonian is presented in the context of the SO(5) Richardson-Gaudin model with nondegenerate single-particle levels and including isospin symmetry-breaking terms. The power of the method is illustrated with a numerical calculation for {sup 64}Ge for a pf+g{sub 9/2} model space which is out of reach of modern shell-model codes.

• OSTI ID: 20778650
• Journal Information: Physical Review Letters, Vol. 96, Issue 7; Other Information: DOI: 10.1103/PhysRevLett.96.072503; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EXACT SOLUTIONS
GERMANIUM 64
HAMILTONIANS
ISOSPIN
ISOVECTORS
NEUTRONS
NUMERICAL ANALYSIS
PAIRING INTERACTIONS
PROTONS
SHELL MODELS
SO-5 GROUPS
SYMMETRY BREAKING