Properties of the d/sub 3/2/-hole states in the 1f/sub 7/2/ nuclei

Journal Article · Sat Oct 01 04:00:00 EDT 1977 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.16.1609· OSTI ID:5335163

Lawson, R D; Mueller-Arnke, A

On the assumption that the most important configurations in the description of the 3/2/sup +/-hole states in /sup 43/Sc and /sup 47/Sc are ((..pi..d/sub 3/2/)/sup -1/ x /sup A/Ti(I))/sub() 3/2//sub m/ (I = 0/sup +/ and 2/sup +/) and ((..pi..s/sub 1/2/)/sup -1/ x /sup A/Ti(2/sup +/))/sub() 3/2//sub m/, empirical wave functions are deduced that fit both the magnetic moments and the severely inhibited M2 decays of the states. The data require a 10--15 % admixture of the ..pi..s/sub 1/2/ hole. The fitted wave functions are compared with the shell-model eigenfunctions that are obtained when the model space consists of nucleons in the 1f/sub 7/2/ shell and a single hole in either the 1d/sub 3/2/ or 2s/sub 1/2/ orbits. Although the shell-model wave functions are very similar to the empirical ones (the probability vertical-barvertical-bar/sup 2/ is at least 0.94), the experimental data are not extremely well reproduced with these wave functions. The implications of this result are discussed in detail. Considering the fact that the values of the quantities to be described are anomalously small we conclude that this model space provides an adequate description of the 3/2/sup +/ states in question. The magnetic moment of the d/sub 3/2/-hole state in /sup 45/Ti is calculated on the basis of the shell model and shown to be in agreement with a recent experiment.

• Research Organization: Argonne National Laboratory, Argonne, Illinois 60439
• OSTI ID: 5335163
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 16:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

651513* -- Nuclear Properties & Reactions
A=39-58
Theoretical-- Energy Levels & Transitions-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
BETA-PLUS DECAY RADIOISOTOPES
DAYS LIVING RADIOISOTOPES
DECAY
EIGENFUNCTIONS
ENERGY LEVELS
EVEN-ODD NUCLEI
EXCITED STATES
FUNCTIONS
HOLES
HOURS LIVING RADIOISOTOPES
INTERMEDIATE MASS NUCLEI
ISOTOPES
MAGNETIC MOMENTS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUCLEI
ODD-EVEN NUCLEI
PARTICLE-HOLE MODEL
RADIOISOTOPES
SCANDIUM 43
SCANDIUM 47
SCANDIUM ISOTOPES
SECONDS LIVING RADIOISOTOPES
SHELL MODELS
TITANIUM 45
TITANIUM ISOTOPES
WAVE FUNCTIONS