Fermion calculations in the boson space using the Dyson boson mapping

Journal Article · Tue Mar 01 04:00:00 EST 1988 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.37.1295· OSTI ID:5260884

Sheikh, J A

An algorithm for obtaining a recursive algebraic expression for the various expansion coefficients appearing in the physical boson basis states is presented, using the Dyson boson mapping. It is observed that only the first few terms of the physical boson basis states, expressed in the present form, contribute to the matrix element of the Hamiltonian. Explicit numerical calculations have been performed for Ni and Sn isotopes in the obtained physical boson basis states. The pairing Hamiltonian has been used as the model interaction. The results are more than 90% in agreement with exact shell model calculations.

• Research Organization: Department of Physics, Indian Institute of Technology, Bombay 400 076, India
• OSTI ID: 5260884
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 37:3; 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
ALGORITHMS
BARYON-BARYON INTERACTIONS
BOSON EXPANSION
DYSON REPRESENTATION
FERMIONS
HADRON-HADRON INTERACTIONS
HAMILTONIANS
INTERACTING BOSON MODEL
INTERACTIONS
ISOTOPES
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NICKEL ISOTOPES
NUCLEAR MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
QUANTUM OPERATORS
SHELL MODELS
TIN ISOTOPES