OCTUPOLE VIBRATIONS OF DEFORMED EVEN NUCLEI

Journal Article · Sun Jan 01 04:00:00 EST 1961 · Nuclear Phys.

DOI:https://doi.org/10.1016/0029-5582(61)90117-1· OSTI ID:4843252

Lipas, P O; Davidson, J P

To explain the systematic occurrence of K = 0- and K = 2- bands in deformed even nuclei, the nuclear surface is assumed to have two octupole degrees of freedom, corresponding to the spherical harmonics Y30 and Y3 plus or minus 2, in addition to the beta and gamma quadrupole degrees of freedom. An approximate Hamiltonian, valid for small oscillations about a spheroidal equilibrium shape, is constructed with the hydrodynamic moments of inertia. Separation of the Schro--dinger equation immediately gives beta vibrations (K = 0+, I = remaining equation is solved formally as a degenerate perturbation problem. The result gives rise to two bands with K = 2, which are interpreted as the gamma vibrational band (K = 2+) and a "g vibrational band" (K = 2-). both with spin sequence 1 = 2, 3, 4.... The theory is consistent with experiment in the strongly deformed regions. (auth)

• Research Organization: Rensselaer Polytechnic Inst., Troy, N.Y.
• NSA Number: NSA-15-028533
• OSTI ID: 4843252
• Journal Information: Nuclear Phys., Journal Name: Nuclear Phys. Vol. Vol: 26
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DEFORMATION
DIFFERENTIAL EQUATIONS
FLUID FLOW
HAMILTONIAN
MATHEMATICS
NUCLEAR MODELS
NUCLEAR THEORY
NUCLEI
OCTUPOLES
OSCILLATIONS
PERTURBATION THEORY
PHYSICS
QUADRUPOLES
SPECTRA
SPHERICAL HARMONICS
SPIN
SURFACES