Schematic model for monopole and quadrupole pairing in nuclei

Journal Article · Tue Apr 15 04:00:00 EST 1980 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(80)90381-4· OSTI ID:5255678

Ginocchio, J N

A schematic Hamiltonian with a pairing interaction plus a quadrupole--quadrupole interaction between nucleons is presented. It is shown that all the states of the fermion system can be classified according to the number of nucleons u not coupled to coherent monopole or quadrupole pairs. The states with u=0 are shown to have a one-to-one correspondence to the states of the interacting bosom model. The spectra for these states are derived analytically for various limits of the pairing strength and the quadrupole strength. Analytical forms for the matrix elements of opeators are derived for these limits. The operators in fermion space are mapped onto boson operators. The matrix elements of operators in the fermion space are shown to be equal to matrix elements of the boson operators multiplied by analytical Pauli factors which are state dependent. The two-nucleon transfer strength is calculated in two limits and is compared to experimental values.

• Research Organization: Theoretical Division, Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico 87545
• OSTI ID: 5255678
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 126:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
COMMUTATION RELATIONS
EIGENSTATES
HAMILTONIANS
INTERACTING BOSON MODEL
INTERACTIONS
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MONOPOLES
MULTIPOLES
NUCLEAR MODELS
PAIRING INTERACTIONS
QUADRUPOLES
QUANTUM NUMBERS
QUANTUM OPERATORS
SENIORITY NUMBER
SHELL MODELS
SO GROUPS
SYMMETRY GROUPS