Open AccessShell model calculations in the A=80-100 mass region and study of double β transitions
Author(s) -
J. Sinatkas,
L.D. Skouras,
D. Strottman,
J.D. Vergados
Publication year - 2020
Publication title -
hnps advances in nuclear physics
Language(s) - English
Resource type - Journals
eISSN - 2654-0088
pISSN - 2654-007X
DOI - 10.12681/hnps.2834
Subject(s) - wave function , shell model , atomic orbital , shell (structure) , physics , isotope , space (punctuation) , atomic physics , core (optical fiber) , matrix (chemical analysis) , square (algebra) , chemistry , quantum mechanics , geometry , mathematics , materials science , linguistics , philosophy , chromatography , optics , composite material , electron
The structure of the Ζ,Ν < 50 nuclei is examined in a model space consisting of the 0g9/2, 1p1/2, 1p3/2 and the 0f5/2 hole orbitals outside the doubly closed 100Sn core. The effective interaction for this model space is derived by introducing second order corrections to the Sussex matrix elements, while the one-hole energies are deduced by a least square fit to the observed levels. The results of the calculation are found to be in very satisfactory agreement with experiment for all nuclei with 38<Ζ<46 but for Ζ<38 this agreement begins to deteriorate. Such a feature possibly indicates the appearance of deformation and the breaking of the Ν=50 core. The wavefunctions of the calculation are used to determine double β matrix elements in the Ge, Se, Sr and Kr isotopes.