Predicted features of the beta decay of neutron-rich sd-shell nuclei

Journal Article · Thu Sep 01 04:00:00 EDT 1983 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.28.1343· OSTI ID:5593264

Wildenthal, B H; Curtin, M S; Brown, B A

The Gamow-Teller beta-decay transitions of sd-shell nuclei with five or more excess neutrons are calculated from complete (0d/sub 5/2/, 1s/sub 1/2/, 0d/sub 3/2/)-space shell-model wave functions. These wave functions are obtained from diagonalizations of a model Hamiltonian formulation which reproduces observed energy-level structures throughout the sd shell. The calculations are carried out with both the ''free-nucleon'' normalization for the Gamow-Teller single-nucleon matrix elements and one based on the empirical values obtained for these quantities from a comparison of corresponding theoretical and experimental Gamow-Teller magnitudes near the line of stability. The phase-space factors f which connect the reduced Gamow-Teller strengths to the total half-lives and the individual decay probabilities are calculated both from the energies obtained in the shell-model calculations and, alternatively, from hybrid energy spectra in which available experimental energies are substituted for the corresponding calculated values wherever possible. Comparisons of the beta-decay predictions to existing experimental results are presented and discussed.

• Research Organization: Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824
• OSTI ID: 5593264
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 28:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALI METAL ISOTOPES
ALKALINE EARTH ISOTOPES
ALUMINIUM ISOTOPES
BETA DECAY
DECAY
ENERGY LEVELS
FLUORINE ISOTOPES
FUNCTIONS
GAMOW-TELLER RULES
HALF-LIFE
HAMILTONIANS
ISOTOPES
MAGNESIUM ISOTOPES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATRIX ELEMENTS
NEON ISOTOPES
NUCLEAR MODELS
OXYGEN ISOTOPES
PHASE SPACE
PHOSPHORUS ISOTOPES
PROBABILITY
QUANTUM OPERATORS
SHELL MODELS
SILICON ISOTOPES
SODIUM ISOTOPES
SPACE
WAVE FUNCTIONS