Study of spinor symmetries in nuclear structure

Thesis/Dissertation · Fri Jan 01 00:00:00 EST 1982

OSTI ID:7184773

Kuyucak, S

One of the possible spinor symmetries of the interacting boson-fermion model is studied. The interacting boson-fermion model is a direct extension of the interacting boson model of nuclear collective states, where the fermion degrees of freedom of the odd nucleon are coupled to the boson core. Since in this model nuclei are treated as a mixed system of bosons and fermions, in order to discuss its symmetries the ordinary concept of symmetry is extended to spinor symmetries. In this work, the spinor symmetry, Spin(6), which arises when the bosons have SO(6) symmetry and the fermions occupy a single particle orbital with j = 3/2 which is described by an SU(4) symmetry is discussed. The states are classified according to the irreducible representations of the group chain. An energy formula is derived assuming that the Hamiltonian can be written in terms of the Casimir operators of this group chain. The Spin(6) wave functions are constructed by expanding them into product of the boson SO(6) and fermion SU(4) wave functions. Using these wave functions the author obtains closed expressions for electromagnetic (E0,M1,E2) transition rates, static moments and (one and two) nucleon transfer reaction intensities. Comparison of the calculations with the experimental data on iridium and gold isotopes shows that the Spin(6) symmetry scheme forms a reasonable zeroth order approximation in describing properties of these nuclei.

• Research Organization: Yale Univ., New Haven, CT (USA)
• OSTI ID: 7184773
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
GOLD ISOTOPES
E0-TRANSITIONS
E2-TRANSITIONS
M1-TRANSITIONS
NUCLEAR ELECTRIC MOMENTS
IRIDIUM ISOTOPES
NUCLEAR STRUCTURE
INTERACTING BOSON MODEL
SPINORS
BOSONS
CASIMIR OPERATORS
FERMIONS
HAMILTONIANS
SO GROUPS
SU-4 GROUPS
SYMMETRY
THEORETICAL DATA
TRANSFER REACTIONS
WAVE FUNCTIONS
DATA
DIRECT REACTIONS
ELECTRIC MOMENTS
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
INFORMATION
ISOTOPES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MULTIPOLE TRANSITIONS
NUCLEAR MODELS
NUCLEAR PROPERTIES
NUCLEAR REACTIONS
NUMERICAL DATA
QUANTUM OPERATORS
SHELL MODELS
SU GROUPS
SYMMETRY GROUPS
653001* - Nuclear Theory- Nuclear Structure
Moments
Spin
& Models
651913 - Nuclear Properties & Reactions
A=190-219
Theoretical- Energy Levels & Transitions- (-1987)