Microscopic derivation of boson-fermion Hamiltonians

Journal Article · Sun May 01 04:00:00 EDT 1988 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.37.2186· OSTI ID:5374257

Sambataro, M

A recent analysis of the correspondence between fermion and boson spaces is extended to systems with an odd number of fermions. A fermion space is now mapped onto a boson-fermion space. The case is discussed of the SD-j and sd-j spaces, i.e., spaces in which an odd particle moving in a j orbit is coupled to systems of S,D pairs and s,d bosons, respectively. The sd-j image of the quadrupole-quadrupole interaction is constructed both for systems of identical particles and for proton-neutron systems. Numerical comparisons are shown between spectra in the SD-j and sd-j spaces. The role of the exchange term in the sd-j Hamiltonian is analyzed. The comparison with other mapping techniques as well as with phenomenological Hamiltonians is discussed.

• Research Organization: Istituto Nazionale di Fisica Nucleare, Sezione di Catania, 95129 Catania, Italy
• OSTI ID: 5374257
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 37:5; 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
ANGULAR MOMENTUM
BOSON-FERMION SYMMETRY
COLLECTIVE MODEL
HAMILTONIANS
INTERACTING BOSON MODEL
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MULTIPOLES
NUCLEAR MODELS
QUADRUPOLES
QUANTUM OPERATORS
SHELL MODELS
SYMMETRY