Consistent description of nuclear charge radii and electric monopole transitions

Abstract

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.

arXiv comment13 pages, 5 tables, 3 figures, accepted for publication in Physical Review C

References in corpus (4)

• Search for Intrinsic Excitations in 152Sm
• Phase transitions and critical points in the rare-earth region
• Alternative Interpretation of Sharply Rising E0 Strengths in Transitional Regions
• Correlating radii and electric monopole transitions of atomic nuclei

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• Isotope Shifts in Cadmium as a Sensitive Probe for Physics Beyond the Standard Model
• Table of electronic factors for E0 electron and electron-positron pair conversion transitions
• Interplay between shape-phase transitions and shape coexistence in the Zr isotopes
• Shape coexistence in Sr isotopes
• Correlating charge radius with quadrupole deformation and $B(E2)$ in atomic nuclei
• Shape vibrations and quasiparticle excitations in the lowest 0+ excited state of the Erbium isotopes
• Microscopic description of hexadecapole collectivity in even-even rare-earth nuclei near $N=90$
• Quadrupole-hexadecapole correlations in neutron-rich samarium and gadolinium isotopes
• Correlations between charge radii, E0 transitions, and M1 strength
• Study of shape coexistence in the 180-190Hg isotopes by SO(6) representation of eigenstates
• Intertwined quantum phase transitions in the Zr chain