THEORY OF THE ANHARMONICITY IN THE VIBRATIONAL MOTION OF EVEN-EVEN SPHERICAL NUCLEI

Journal Article · Mon Jan 27 04:00:00 EST 1964 · Physical Review (U.S.) Superseded in part by Phys.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.133.B257· OSTI ID:4135374

Dang, G D; Klein, A

By extending a method developed recently for the electron gas problem to the case of even-even spherical nuclei, corrections to the random phase or harmonic description of the vibrational spectrum were obtained. The calculation, which was based on the conventional pairing plus quadrupole force effective hamiltonian, indicates a systematnc sequence of higher approximations taking into account successively more complicated phonon-phonon and phononquasiparticle pair interactions. The approximation, which includes only the leading phonon-phonon interaction in its effect on the one and two phonon states, is in principle rich enough to allow all of the observed orderings of the two phonon triplet. The case of Ni/sup 62/ was studied in detail, with all parameters except the strength of the quadrupole force taken directly from the work of Kisslinger and Sorensen and the latter constant readjusted so that the improved theory gives the energy of the first 2/sup +/ state. A parameterfree accord to the ordering (0/sup +/, 2/ sup +/, 4/sup +/) of the two phonon state is obtained, though the energies are on the whole high. The main defects of the calculation are discussed. (auth)

• Research Organization: Univ. of Philadelphia
• NSA Number: NSA-18-007754
• OSTI ID: 4135374
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 133; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BINDING ENERGY
CONFIGURATION
ELECTRONS
ENERGY LEVELS
INTERACTIONS
MOTION
NICKEL 62
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUMERICALS
OSCILLATIONS
PARITY
PHONONS
PHYSICS
QUADRUPOLES
QUANTUM MECHANICS
SOUND
SPECTRA
SPIN