Correlating radii and electric monopole transitions of atomic nuclei

Abstract

A systematic analysis of the spherical-to-deformed shape phase transition in even-even rare-earth nuclei from ${}_{58}$Ce to ${}_{74}$W is carried out in the framework of the interacting boson model. These results are then used to calculate nuclear radii and electric monopole (E0) transitions with the same effective operator. The influence of the hexadecapole degree of freedom ($g$ boson) on the correlation between radii and E0 transitions thus established, is discussed.

arXiv comment4 pages, 3 figures, accepted for publication in Phys. Rev. Letters

References in corpus (3)

• 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

Cited by in corpus (11)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
• Zr Isotopes as a region of intertwined quantum phase transitions
• Consistent description of nuclear charge radii and electric monopole transitions
• Evolution of E2 transition strength in deformed hafnium isotopes from new measurements on ${}^{172}$Hf, ${}^{174}$Hf, and ${}^{176}$Hf
• Interplay between shape-phase transitions and shape coexistence in the Zr isotopes
• Correlating charge radius with quadrupole deformation and $B(E2)$ in atomic nuclei
• Impacts of hexadecapole deformations on the collective energy spectra of axially deformed nuclei
• Correlations between charge radii, E0 transitions, and M1 strength
• Quadrupole and monopole transition properties of $0_2^{+}$ in Gd isotopes
• Remarks on monopole charge properties within the Generalized Coherent State Model