SINGLE-PARTICLE STATES IN A SPHEROIDAL NUCLEAR POTENTIAL (thesis)
Technical Report
·
OSTI ID:4108890
In order to provide an additional tool for the study of the low-energy properties of highly nonspherical nuclei, a computation of eigenstates was made for a particle moving in a spheroidal pctential well under the influence of a strong spin-orbit interaction. The nucleus was regarded as a collection of independently moving particles bound in the same potential well, in a manner similar to the shell model. A simpllfied nucleon hamiltonian was used. Particles were treated as bound in an isotropic harmonic oscillator potential to which three perturbations were applied. These consist of the spin-orbit interaction, a nonisotropic deformation term, and a truncation term that acts to flatten the bottom of the potential well. Approximate solutions were obtained by an exact diagonalization of those submatrices of the perturbation hamiltonian that connect only harmonic osclllator states within the same major oscillator shell. Eigenvalues and eigenfunction expansion coefficients are presented in tabular form as functions of the deviation of the potential shape from sphericity. To illustrate the applicability of the single-particle eigenstates to nuclear systems, a study was made of the ground-state spins and magnetic moments of a large number of deformed nuclei. A close correlation is shown to exist in most instances between the empirical data and the predicted spins and magnetic moments. (auth)
- Research Organization:
- California. Univ., Berkeley. Radiation Lab.
- DOE Contract Number:
- W-7405-ENG-48
- NSA Number:
- NSA-15-007996
- OSTI ID:
- 4108890
- Report Number(s):
- UCRL-3587
- Country of Publication:
- United States
- Language:
- English
Similar Records
NUCLEAR DEFORMATION IN THE SPHEROIDAL SHELL MODEL
NUCLEAR STATES WITH HIGH ANGULAR MOMENTA AND THEIR STABILITY
SINGLE PARTICLE STATES IN A SPHEROIDAL HARMONIC OSCILLATOR POTENTIAL WITH VELOCITY DEPENDENCE
Journal Article
·
Mon Nov 14 23:00:00 EST 1960
· Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D
·
OSTI ID:4119862
NUCLEAR STATES WITH HIGH ANGULAR MOMENTA AND THEIR STABILITY
Journal Article
·
Wed Jan 31 23:00:00 EST 1962
· Dissertation Abstr.
·
OSTI ID:4823149
SINGLE PARTICLE STATES IN A SPHEROIDAL HARMONIC OSCILLATOR POTENTIAL WITH VELOCITY DEPENDENCE
Technical Report
·
Sun Oct 30 23:00:00 EST 1960
·
OSTI ID:4174298