From the shell model to the interacting boson model

Conference · Fri Jul 01 04:00:00 EDT 1994

OSTI ID:10162555

Ginocchio, J N; Johnson, C W

Starting from a general, microscopic fermion-pair-to-boson mapping of a complete fermion space that preserves Hermitian conjugation, we show that the resulting infinite and non-convergent boson Hamilitonian can be factored into a finite (e.g., a 1 + 2-body fermion Hamiltonian is mapped to a 1 + 2-body boson Hamiltonian) image Hamilitonian times the norm operator, and it is the norm operator that is infinite and non-convergent. We then truncate to a collective boson space and we give conditions under which the exact boson images of finite fermion operators are also finite in the truncated basis.

• Research Organization: Los Alamos National Lab., NM (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 10162555
• Report Number(s): LA-UR--94-2228; CONF-9403135--1; ON: DE94014486
• Country of Publication: United States
• Language: English

Related Subjects

662230
663120
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSONS
FACTORIZATION
HAMILTONIANS
HERMITIAN MATRIX
INTERACTING BOSON MODEL
MATRIX ELEMENTS
NUCLEAR STRUCTURE MODELS AND METHODS
QUANTUM CHROMODYNAMICS