NUCLEONIC BINDING STATES IN NONSPHERICAL NUCLEI: ASYMPTOTIC REPRESENTATION

Journal Article · Sat Feb 01 04:00:00 EST 1958 · Physical Review (U.S.) Superseded in part by Phys.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.109.949· OSTI ID:4310654

Rassey, A J

An alternative description is given for Nilsson's analysis of nucleonic motion in a strongly deformed nuclear field. The aim is to obtain the single- particle states for the region of strong deformation in terms of a representation which is especially suited for that region in contrast to the spherical representation used by Nilsson. The eigenvectors of a 3-dimensional anisotropic harmonic oscillator (H.O.) are used as a basic set to calculate the single- particle wave functions and energy eigenvalues. Two immediate advantages of choosing this basic set are: first, the matrix elements between singleparticle states are expressible in terms of the rather simple analytic expressions obtained for these matrix elements in the H.O. representation and second, the expansion of the particle wave functions generally is rather pure, so that in many instances the leading term in the expansion is sufficient for calculations. Thus, good approximate calculations are easily obtainable. The high degree of purity of state has been taken advantage of previously by several authors to classify states in the strong-deformation region using the almost good'' quantum numbers of the basic set (asymptotic quantum numbers). Separate level spectra are given for protons and neutrons similar to the Mottleson and Nilsson scheme but more extensive (including some N = 7 shell neutron Please delete 6128

• Research Organization: Univ. of California, Los Angeles
• NSA Number: NSA-12-006128
• OSTI ID: 4310654
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 109; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ALPHA DECAY
BETA DECAY
BINDING ENERGY
DEFORMATION
EIGENVALUES
EIGENVECTORS
ENERGY LEVELS
HALF-LIFE
INTERACTIONS
MATHEMATICS
MATRICES
MOTION
NEUTRONS
NILSSON MODEL
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUCLEAR THEORY
NUMERICALS
OSCILLATIONS
PHYSICS
PROTONS
QUANTUM MECHANICS
SELECTION RULES
SHELL MODELS
TRANSIENTS
VECTORS