Consistent description of nuclear charge radii and electric monopole transitions

Details Consistent description of nuclear charge radii and electric monopole transitions Consistent description of nuclear charge radii and electric monopole transitions

2012-03-20

arxiv.org/abs/1203.4379v1

Physical Review C 85 (2012) 034331

Physics

Nuclear Physics

Nuclear Theory

13 pages, 5 tables, 3 figures, accepted for publication in Physical Review C

Scientific paper

10.1103/PhysRevC.85.034331

A systematic study of energy spectra throughout the rare-earth region (even-even nuclei from $_{58}$Ce to $_{74}$W) is carried out in the framework of the interacting boson model (IBM), leading to an accurate description of the spherical-to-deformed shape transition in the different isotopic chains. The resulting IBM Hamiltonians are then used for the calculation of nuclear charge radii (including isotope and isomer shifts) and electric monopole transitions with consistent operators for the two observables. The main conclusion of this study is that an IBM description of charge radii and electric monopole transitions is possible for most of the nuclei considered but that it breaks down in the tungsten isotopes. It is suggested that this failure is related to hexadecapole deformation.

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