SINGLE-PARTICLE STATES IN DEFORMED NONLOCAL DIFFUSE BOUNDARY POTENTIALS

Journal Article · Mon Aug 01 04:00:00 EDT 1960 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.119.1043· OSTI ID:4165217

Lemmer, R H; Green, A E.S.

Using the spherical wave functions generated in a previous investigation by Wyatt, Wills, and Green, the influence of spheroidal deformation is examined with the aid of perturbation theory. The combined calculations yield the energies of single-particle states for a diffuse boundary, nonlocal deformed potential. Specific calculations are penformed for light nuclei around A = 25 and in the rare-earth region between A = 150 and A = 180. An analysis of nuclear ground-state spins and magnetic moments is presented in terms of the computed level schemes and wave functions. The results confirm the general aspects of the Nilsson, Mottelson results as obtained with adjusted harmonic oscillator potentials although some differences arise in detail. In particular, the calculated coefficients usually show less mixing of different angular momentum states in this case. The fact that the unperturbed potentials used in this calculation were obtained in the study of Wyatt, Wills, and Green from completely independent theoretical and experimental considerations is satisfying and further tends to confirm that the phenomenological model has a strong basis in reality. A discussion of the relationship of the phenomenological model to the self-consistent nuclear model of Brueckner is given. (auth)

• Research Organization: Florida State Univ., Tallahassee
• NSA Number: NSA-14-022419
• OSTI ID: 4165217
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 119; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
DEFORMATION
EIGENFUNCTIONS
ENERGY LEVELS
MAGNETIC MOMENTS
MASS NUMBER
MOMENTUM
NUCLEAR MODELS
NUCLEAR THEORY
NUCLEI
NUMERICALS
PERTURBATION THEORY
PHYSICS
RARE EARTHS
SPHERES
SPIN