Theoretical mean field and experimental occupation probabilities in the double beta decay system 76Ge to 76Se

Abstract

Usual Woods-Saxon single particle levels with BCS pairing are not able to reproduce the experimental occupation probabilities of the proton and neutron levels 1p_{3/2}, 1p_{1/2}, 0f_{5/2}, 0g_{9/2} in the double-beta decay system 76Ge to 76Se. Shifting down the 0g_{9/2} level by hand can explain the data but it is not satisfactory. Here it is shown that a selfconsistent Hartree-Fock+BCS approach with experimental deformations for 76Ge and 76Se may decisively improve the agreement with the recent data on occupation probabilities by Schiffer et al. and Kay et al. Best agreement with available data on 76Ge and 76Se, as well as on neighbor isotopes, is obtained when the spin-orbit strength for neutrons is allowed to be larger than that for protons. The two-neutrino double-beta decay matrix element is also shown to agree with data.

10 pages, 6 figures

References in corpus (12)

• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: 76Ge and 76Se
• Reduction of the spin-orbit potential in light drip-line nuclei
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: the Valence Protons in 76Ge and 76Se
• Beta decay and shape isomerism in 74Kr
• A deformed QRPA formalism for single and two-neutrino double beta decay
• Two-neutrino double beta decay of deformed nuclei within QRPA with realistic interaction
• The occupancies of individual orbits and the nuclear matrix element of the ${}^{76}$Ge neutrinoless $\beta \beta$ decay
• Effects of orbital occupancies on the neutrinoless beta-beta matrix element of 76Ge
• $0\nu \beta \beta$ nuclear matrix elements and the occupancy of individual orbits
• Average and recommended half-life values for two neutrino double beta decay: upgrade'05
• Single and low-lying states dominance in two-neutrino double-beta decay
• Running sums for $2\nu \beta \beta$-decay matrix elements within the QRPA with account for deformation

Cited by in corpus (5)

• Low-energy M1 excitations in ${}^{208}$Pb and the spin channel of the Skyrme energy-density functional
• Deformation effects on the Gamow-Teller strength distributions in the double-beta decay partners 76Ge and 76Se
• Shell model description of Ge isotopes
• Nuclear structure calculations for two-neutrino double-beta decay
• Large-scale shell-model investigation of $2\nu$ECEC in ${}^{132}$Ba and ${}^{78}$Kr