Mean-field plus various types of pairing models and an exact boson mapping of the standard pairing model

Journal Article · Tue Jun 28 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3583169· OSTI ID:21513485

Feng, Pan ^[1]; Yin, Wang; Xin, Guan; Lu, Jia; Xiangrong, Chen ^[1]; Draayer, J P ^[2]

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1. Department of Physics, Liaoning Normal University, Dalian 116029 (China)
2. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001 (United States)

Exact solutions of Nilsson mean-field with various pairing interactions are reviewed. Some even-odd mass differences and moments of inertia of low-lying states for rare earth and actinide nuclei are calculated for the nearest-orbit pairing approximation as well as for the extended pairing model and compared to available experimental data. An exact boson mapping of the standard pairing Hamiltonian is also reported. Under the mapping, fermion pair operators are mapped exactly onto corresponding bosons. The image of the mapping is a Bose-Hubbard model with orbit-dependent hopping.

• OSTI ID: 21513485
• Journal Information: AIP Conference Proceedings, Vol. 1342, Issue 1; Conference: 2. international Ulaanbaatar conference on nuclear physics and applications, Ulaanbaatar (Mongolia), 26-30 Jul 2010; Other Information: DOI: 10.1063/1.3583169; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACTINIDE NUCLEI
APPROXIMATIONS
BINDING ENERGY
BOSONS
COMPUTERIZED SIMULATION
EXACT SOLUTIONS
FERMIONS
HAMILTONIANS
HUBBARD MODEL
IMAGES
MASS
MASS DIFFERENCE
MEAN-FIELD THEORY
MOMENT OF INERTIA
NEUTRON-NEUTRON INTERACTIONS
ORBITS
PAIRING INTERACTIONS
RARE EARTHS
BARYON-BARYON INTERACTIONS
CALCULATION METHODS
CRYSTAL MODELS
ELEMENTS
ENERGY
HADRON-HADRON INTERACTIONS
HEAVY NUCLEI
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
METALS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
QUANTUM OPERATORS
SIMULATION