Unified description of the double {beta} decay to the first quadrupole phonon state in spherical and deformed nuclei

Journal Article · Mon Oct 15 04:00:00 EDT 2007 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.76.044306· OSTI ID:21067791

Raduta, C M ^[1]; Raduta, A A ^[1]

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1. Institute of Physics and Nuclear Engineering, Bucharest, P. O. Box MG6 (Romania)

The Gamow-Teller transition operator is written as a polynomial in the dipole proton-neutron and quadrupole charge-conserving quasiparticle random-phase approximation boson operators, using the prescription of the boson expansion technique. Then, the 2{nu}{beta}{beta} process ending on the first 2{sup +} state in the daughter nucleus is allowed through one-, two-, and three-boson states describing the odd-odd intermediate nucleus. The approach uses a single particle basis that is obtained by projecting out the good angular momentum from an orthogonal set of deformed functions. The basis for mother and daughter nuclei may have different deformations. The GT transition amplitude as well as the half-lives were calculated for 18 transitions. Results are compared with the available data as well as with the predictions obtained with other methods.

• OSTI ID: 21067791
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 76; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BOSON EXPANSION
DEFORMED NUCLEI
DIPOLES
DOUBLE BETA DECAY
GAMOW-TELLER RULES
HALF-LIFE
NEUTRONS
NUCLEAR DEFORMATION
NUCLEAR STRUCTURE
POLYNOMIALS
PROTONS
QUADRUPOLES
QUASIPARTICLE-PHONON MODEL
RANDOM PHASE APPROXIMATION
SINGLE-PARTICLE MODEL
SPHERICAL CONFIGURATION
TRANSITION AMPLITUDES