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

Journal Article · Thu Apr 15 04:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.81.041303· OSTI ID:21388899

Moreno, O; Moya de Guerra, E ^[1]; Sarriguren, P ^[2]; Faessler, Amand ^[3]

---

1. Dpto. Fisica Atomica, Molecular y Nuclear, Univ. Complutense de Madrid, E-28040 Madrid (Spain)
2. Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid (Spain)
3. Institut fuer Theoretische Physik, Universitaet Tuebingen, D-72076 Tuebingen (Germany)

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{sub 3/2}, 1p{sub 1/2}, 0f{sub 5/2}, and 0g{sub 9/2} in the double-beta decay system {sup 76}Ge to {sup 76}Se. Shifting down the 0g{sub 9/2} level by hand can explain the data, but it is not satisfactory. Here it is shown that a self-consistent Hartree-Fock+BCS approach with experimental deformations for {sup 76}Ge and {sup 76}Se may decisively improve the agreement with the recent data on occupation probabilities by J. P. Schiffer et al. [Phys. Rev. Lett. 100, 112501 (2008)] and B. P. Kay et al. [Phys. Rev. C 79, 021301(R) (2009)]. Best agreement with available data on {sup 76}Ge and {sup 76}Se, 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 the data.

• OSTI ID: 21388899
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 81; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
APPROXIMATIONS
BARYONS
BCS THEORY
BETA DECAY
BETA-MINUS DECAY
CALCULATION METHODS
DECAY
DEFORMATION
DOUBLE BETA DECAY
ELEMENTARY PARTICLES
EVEN-EVEN NUCLEI
FERMIONS
GERMANIUM 76
GERMANIUM ISOTOPES
HADRONS
HARTREE-FOCK METHOD
INTERMEDIATE MASS NUCLEI
ISOTOPES
LEPTONS
MASSLESS PARTICLES
MATRIX ELEMENTS
MEAN-FIELD THEORY
NEUTRINOS
NEUTRONS
NUCLEAR DECAY
NUCLEAR DEFORMATION
NUCLEAR POTENTIAL
NUCLEI
NUCLEONS
OCCUPATIONS
PARTICLE PROPERTIES
POTENTIALS
PROBABILITY
PROTONS
SELENIUM 76
SELENIUM ISOTOPES
SPIN
STABLE ISOTOPES
WOODS-SAXON POTENTIAL