Collective Hamiltonian in linked diagram expansions

Journal Article · Thu Mar 01 04:00:00 EST 1990 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.41.1257· OSTI ID:6915319

Gong-ou, Xu ^[1]; Yi, Yang ^[2]

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1. Department of Physics, Nanjing University, Nanjing, China, (CN) Department of Modern Physics, Lanzhou University, Lanzhou, China
2. Department of Physics, Nanjing University, Nanjing, China (CN)

A method for obtaining collective Hamiltonians in linked diagram expansions is given. Effects of the Pauli principle have been properly taken into account. An illustration with a two-level pairing force model is given. The derivation of the interacting boson model and truncated quadrupole phonon model Hamiltonians as well as a comparison with the random-phase approximation are discussed.

• OSTI ID: 6915319
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 41:3; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANNIHILATION OPERATORS
COLLECTIVE EXCITATIONS
CREATION OPERATORS
ENERGY-LEVEL TRANSITIONS
EXCITATION
GENERATOR-COORDINATE METHOD
HAMILTONIANS
INTERACTING BOSON MODEL
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
PAIRING INTERACTIONS
PAULI PRINCIPLE
QUANTUM OPERATORS
RANDOM PHASE APPROXIMATION
SHELL MODELS