Phonon interaction with an odd quasiparticle and l-forbidden. beta. transitions

Journal Article · Thu Sep 01 00:00:00 EDT 1977 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:6663255

Batkin, I S; Berkman, M I; Kopytin, I V

We consider l-forbidden ..beta.. transitions of odd spherical nuclei. The phonon density matrix of the even-even core is constructed and the Hamiltonian of the interaction of an odd quasiparticle with a phonon is written down within the framework of the theory of finite Fermi systems. Using a variational procedure, we obtain the explicit form of the wave functions of the ground states of the parent and of daughter nuclei. In the choice of the wave function, account is taken of only the ''single-quasiparticle'' and ''single-quasiparticle+phonon'' components. An expression for the reduced nuclear matrix element of the l-forbidden ..beta.. transition is obtained within the framework of the indicated approximation. The inclusion of the ''quasiparticle+phonon'' state in the analysis introduces into the transition matrix element terms that are responsible for ..beta.. decay without change of the orbital quantum number l. The values of log f/sub 0/t calculated for l-forbidden ..beta.. transitions of the nuclei /sup 65/Ni, /sup 65/Zn, /sup 65/Ga, /sup 67/Cu, and /sup 69/Ge are in better agreement with experiment than the values obtained in the single-quasiparticle approximation.

• Research Organization: Voronezh State University
• OSTI ID: 6663255
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 26:3; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

651612 -- Nuclear Properties & Reactions
A=59-89
Theoretical-- Radioactive Decay-- (-1987)
653005* -- Nuclear Theory-- Radioactive Decay
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BASIC INTERACTIONS
BETA DECAY
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
BETA-PLUS DECAY RADIOISOTOPES
COPPER 67
COPPER ISOTOPES
DAYS LIVING RADIOISOTOPES
DECAY
DENSITY MATRIX
ELECTRON CAPTURE RADIOISOTOPES
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EVEN-ODD NUCLEI
FORBIDDEN TRANSITIONS
FT VALUE
FUNCTIONS
GALLIUM 65
GALLIUM ISOTOPES
GERMANIUM 69
GERMANIUM ISOTOPES
GROUND STATES
HAMILTONIANS
HOURS LIVING RADIOISOTOPES
INTERACTIONS
INTERMEDIATE MASS NUCLEI
ISOTOPES
LEPTONIC DECAY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MINUTES LIVING RADIOISOTOPES
NICKEL 65
NICKEL ISOTOPES
NUCLEAR MODELS
NUCLEI
ODD-EVEN NUCLEI
PARTICLE DECAY
PHONONS
QUANTUM OPERATORS
QUASI PARTICLES
RADIOISOTOPES
SPHERICAL MODEL
VARIATIONAL METHODS
WAVE FUNCTIONS
WEAK INTERACTIONS
WEAK PARTICLE DECAY
ZINC 65
ZINC ISOTOPES