High multipole moments in nuclei

Journal Article · Thu Nov 01 04:00:00 EST 1984 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.30.1719· OSTI ID:6043105

Jaqaman, H R; Zamick, L

Deformed Hartree-Fock calculations with the Skyrme interactions are carried out for various nuclei in the s-d and f-p shell regions to obtain E2, E4, and E6 intrinsic multiple moments. It is found that the higher moments have an increasing sensitivity to the size of the basis used in the calculation and that the basis must span at least nine major shells to produce reliable results for E6 moments in this mass region. The results are sometimes not monotonic in the number of shells that are included. The results differ greatly for the Skyrme SI and SII interactions used here. More insight into these moments and a better understanding of the Hartree-Fock results is gained by using deformed harmonic oscillator wave functions. The results are compared with shell model calculations. It is found that the collective model approach, when used sensibly, can be very useful in understanding the experimental results. Much of the data can be explained, although some discrepancies still remain. It is found that in open shell nuclei, the simple use of an effective charge calculated for a closed shell plus one nucleon is inadequate. A necessary (but not sufficient) condition for obtaining sensible results for higher moments is that the lower moments come out correctly.

• Research Organization: Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854
• OSTI ID: 6043105
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 30:5; 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
COLLECTIVE MODEL
DEFORMED NUCLEI
E2-TRANSITIONS
E4-TRANSITIONS
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
HARMONIC OSCILLATOR MODELS
HARTREE-FOCK METHOD
MATHEMATICAL MODELS
MULTIPOLE TRANSITIONS
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUCLEI
NUCLEON-NUCLEON POTENTIAL
POTENTIALS
SHELL MODELS
SKYRME POTENTIAL
WAVE FUNCTIONS