SINGLE PARTICLE MOTION IN A DEFORMED, NONLOCAL POTENTIAL WELL

Journal Article · Tue Mar 15 04:00:00 EST 1960 · Physical Review (U.S.) Superseded in part by Phys.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

DOI:https://doi.org/10.1103/PhysRev.117.1551· OSTI ID:4141155

Lemmer, R H

The effects of the nonlocal character of the average nucleon-nucleus interaction on single particle motion in a strongly deformed field are examined by using a simple phenomenological description of the nonlocal interaction and introducing an effective mass approximation for a finite nuclear system. The eigenvaluer and eigenfunctions of the anisotropic harmonic oscillator potential are used as a starting point for a perturbative treatment of the nonlocal interaction. and the resulting energy level scheme is given as a function of the nuclear deformation. A conventional spin-orbit interaction is also included. The main effects of the nonlocal interaction appear as am increase in the level spacing of the unperturbed oscillator states combined with an additional interaction energy which cam be interpreted as am effective angular momentum dependence of the average potential field. Calculations of nuclear equilibrium deformations based on the computed level schemes are presented. It is found that the preponderance of prolate nuclear shapes found empirically can be accounted for quite well by the nonlocal model and results essentially from the favoring of high angular momentum substates that are introduced by the nonlocal interaction. (auth)

• Research Organization: Florida State Univ., Tallahassee
• NSA Number: NSA-14-014394
• OSTI ID: 4141155
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 117; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
DEFORMATION
EIGENFUNCTIONS
EIGENVALUES
ENERGY LEVELS
INTERACTIONS
MATHEMATICS
MOMENTUM
NUCLEAR MODELS
NUCLEAR THEORY
NUCLEI
NUCLEONS
ORBITS
PERTURBATION THEORY
PHYSICS
SPIN