ANHARMONIC OSCILLATIONS OF SPHERICAL NUCLEI

Journal Article · Wed Jan 01 04:00:00 EST 1964 · Izvestiya Akademii Nauk, Seriya Fizicheskaya (U.S.S.R.) For English translation see Bull. Acad. Sci. USSR, Phys. Ser. (Engl. Transl.)

OSTI ID:4030816

Belyaev, S T; Zelevinskii, V G

A series of phenomenological models using a definite number of parameters have been suggested for studying empirical vibration spectra of spherical nuclei. The simplest model of quadrupole harmonic oscillations predicts an equidistant spectrum consisting of degenerate multiplicities Las in the case in which the second level is a triplet 0/sup +/, 2/sup +/, and 4/sup +/). According to such a model, E2 transition is possible between levels belonging to neighboning multiplicities (the number of phonons changes to one) and B(E2; 22 yields 21)/B(E2; 21 yields 0) = 2. Real nuclei have spectra differing from those predicted by the harmonic model. An attempt was made to describe the differences using anharmonic corrections in phonon interactions (or the contrasting of a pair of bound quasiparticles in a nucleus with an ideal Bose excitation). After separating the main anharmonic corrections the problem permits a phenomenological approach by introducing two parameters (bond constants in three- and four-phonon hamiltonians) for each nucleus aad by using them for calculating level energies, wave functions, and transition probabilities. Phenomenological anharmonic parameters and the ratio of E2 transition probabilities for various nuclei are tabulated. (R.V.J.)

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-18-018921
• OSTI ID: 4030816
• Journal Information: Izvestiya Akademii Nauk, Seriya Fizicheskaya (U.S.S.R.) For English translation see Bull. Acad. Sci. USSR, Phys. Ser. (Engl. Transl.), Journal Name: Izvestiya Akademii Nauk, Seriya Fizicheskaya (U.S.S.R.) For English translation see Bull. Acad. Sci. USSR, Phys. Ser. (Engl. Transl.) Vol. Vol: 28; ISSN IANFA
• Country of Publication: Country unknown/Code not available
• Language: Russian

Related Subjects

BINDING ENERGY
COLLECTIVE MODEL
CONFIGURATION
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
HAMILTONIAN
INTERACTIONS
NUCLEAR MODELS
NUMERICALS
OSCILLATIONS
PARITY
PHONONS
PHYSICS
PROBABILITY
QUANTUM MECHANICS
QUASI PARTICLES
SOUND
SPECTRA
SPIN
TABLES
TRANSIENTS