Systematics of the ratio of electric quadrupole moments Q(21 +) to the square root of the reduced transition probabilities B(E2;01 +→21 +) in even–even nuclei

Y. Y. Sharon, N. Benczer-Koller, G. J. Kumbartzki, Larry Zamick, R. F. Casten

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A survey of even–even nuclei in the nuclear chart showed regularities in the values of the ratio Q(21 +)/(B(E2) for each nucleus for which independent measurements of both the electric quadrupole moment of the 21 + state, Q(21 +), and the reduced transition probability B(E2;01 +→21 +) exist. As predicted by the rotational model, this ratio was found to be close to unity for the deformed nuclei in the rare-earth region. For non-rotational nuclei the absolute value of this ratio is almost always considerably lower. This latter observation can be interpreted within different models for different classes of nuclei as illustrated by a set of schematic IBA model calculations. A general mixing model and simple geometrical models are also suitable for collective non-rotational nuclei. Near magic nuclei a mechanism within the seniority scheme is compatible with the observed small value of RQB.

Original languageEnglish (US)
Pages (from-to)131-142
Number of pages12
JournalNuclear Physics A
StatePublished - Dec 2018

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Electric quadrupole moment and reduced transition probability

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