beta. beta. decay of sup 128 Te, sup 130 Te, and sup 76 Ge with renormalized effective interactions derived from Paris and Bonn potentials

Journal Article · Tue Sep 01 04:00:00 EDT 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.46.871· OSTI ID:7157201

Staudt, A; Kuo, T T.S.; Klapdor-Kleingrothaus, H V ^[1]

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1. Max-Planck-Institut fuer Kernphysik, D-6900 Heidelberg (Germany)

We perform 2{nu}{beta}{beta} and 0{nu}{beta}{beta} calculations for {sup 76}Ge, {sup 128}Te, and {sup 130}Te using effective interactions derived from the Paris and Bonn-A potentials. Extended model spaces are employed in setting up the quasiparticle random phase approximation (QRPA) equations, on which our present calculations are based. For {sup 76}Ge the model space consists of nine orbits, the two major shells from 0{ital f}{sub 7/2} to 2{ital s}{sub 1/2}, and for the tellurium case we include eleven orbits spanning three major shells from 1{ital p}{sub 3/2} to 1{ital f}{sub 7/2}. The bare-{ital G}-matrix elements are first calculated, with the Pauli exclusion operator carefully treated with a matrix inversion method, so that double counting between the calculated effective interaction and the above model spaces is strictly avoided. We then calculate the renormalized effective interaction, including corrections from core polarizations and folded diagrams. The effect of core polarization is found to be highly significant, especially for {sup 76}Ge. There appears to be a compensating effect from the folded diagrams; the net results with core polarizations and folded diagrams both included become rather close to the bare-{ital G} results. Unlike earlier QRPA calculations, our calculated {ital M}{sub GT} matrix elements for 2{nu}{beta}{beta} do not seem to exhibit strong dependence on {ital g}{sub pp}, the particle-particle interaction strength parameter, in the vicinity of {ital g}{sub pp}=1.0.

• DOE Contract Number: FG02-88ER40388
• OSTI ID: 7157201
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 46:3; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BETA DECAY
BETA-MINUS DECAY
DAYS LIVING RADIOISOTOPES
DECAY
DOUBLE BETA DECAY
EVEN-EVEN NUCLEI
G MATRIX
GERMANIUM 76
GERMANIUM ISOTOPES
HALF-LIFE
INTERMEDIATE MASS NUCLEI
ISOTOPES
MATRICES
MATRIX ELEMENTS
NUCLEAR DECAY
NUCLEI
PAULI PRINCIPLE
POTENTIALS
RADIOISOTOPES
RANDOM PHASE APPROXIMATION
RENORMALIZATION
STABLE ISOTOPES
TELLURIUM 128
TELLURIUM 130
TELLURIUM ISOTOPES
YEARS LIVING RADIOISOTOPES