Comparison of shell model results for some properties of even-even Ge isotopes

We examine two recent effective shell model interactions, JUN45 and JJ4B, that have been proposed for use in the f{sub 5/2},p{sub 3/2},p{sub 1/2},g{sub 9/2} model space for both protons and neutrons. We calculate a number of quantities that did not enter into the fits undertaken to fix the parameter...

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Bibliographic Details
Published in:Physical review. C, Nuclear physics Nuclear physics, 2011-02, Vol.83 (2), Article 027302
Main Authors: Robinson, S. J. Q., Zamick, L., Sharon, Y. Y.
Format: Article
Language:English
Subjects:
BARYONS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
E2-TRANSITIONS
ELEMENTARY PARTICLES
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EVALUATION
EVEN-EVEN NUCLEI
EXCITED STATES
FERMIONS
FORECASTING
GERMANIUM 70
GERMANIUM 72
GERMANIUM 74
GERMANIUM 76
GERMANIUM ISOTOPES
HADRONS
INTERACTIONS
INTERMEDIATE MASS NUCLEI
ISOTOPES
MATHEMATICAL MODELS
MULTIPOLE TRANSITIONS
NEUTRONS
NUCLEAR MODELS
NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEI
NUCLEONS
PROTONS
QUADRUPOLE MOMENTS
SHELL MODELS
SIMULATION
STABLE ISOTOPES
ZINC 70
ZINC ISOTOPES
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Summary:We examine two recent effective shell model interactions, JUN45 and JJ4B, that have been proposed for use in the f{sub 5/2},p{sub 3/2},p{sub 1/2},g{sub 9/2} model space for both protons and neutrons. We calculate a number of quantities that did not enter into the fits undertaken to fix the parameters of both interactions. In particular we consider the static quadrupole moments (Q's) of excited states of the even-even {sup 70-76}Ge isotopes, as well as the B(E2) values in these nuclei. (We previously studied {sup 70}Zn isotopes using JJ4B.) Some striking disagreements between the JUN45 predictions and the experimental results had already been noted for the quadrupole moments of the 2{sub 1}{sup +} states, Q(2{sub 1}{sup +})'s, of these nuclei. We investigate whether these discrepancies also occur for the JJ4B interaction. Subsequently, we also apply both interactions to calculate the Q's of some more highly excited states and compare the two sets of predictions regarding the nature of the nuclear states under consideration. We seek to understand the measured signs of the Q(2{sub 1}{sup +})'s in the isotopic Ge chain by looking at a simple single-Jshell model and also at the collective vibrational and rotational pictures.
ISSN:0556-2813
1089-490X
DOI:10.1103/PhysRevC.83.027302