Signatures of criticality in the evolution of the nuclear ground-state shapes across the N× Z
plane are discussed. Attention is paid to specific data indicating sudden structural changes …

The article reviews the general version of the Bohr collective model for the description of
quadrupole collective states, including a detailed discussion of the model's kinematics. The …

Analytical expressions for spectra and wave functions are derived for a Bohr Hamiltonian,
describing the collective motion of deformed nuclei, in which the mass is allowed to depend …

The deformation-dependent mass Kratzer model is constructed by considering the Kratzer
potential in a Bohr Hamiltonian, in which the mass is allowed to depend on the nuclear …

This overview discusses the evolution of collectivity in atomic nuclei, with particular focus on
the rapidly developing field of quantum phase transitions in the nuclear shape, and on …

In this paper, we solve the eigenvalues and eigenvectors problem with the Bohr collective
Hamiltonian for triaxial nuclei. The β-part of the collective potential is taken to be equal to the …

Analytical solutions of the Bohr Hamiltonian are obtained in the γ-unstable case, as well as
in an exactly separable rotational case with γ≈ 0, called the exactly separable Morse (ES …

The critical point of the shape phase transition between spherical and axially deformed
nuclei is described by a collective Bohr Hamiltonian with a sextic potential having …

The medium-to-heavy mass ytterbium isotopes (70 Yb) in the rare-earth mass region are
known to be well-deformed nuclei, which can be populated to very high spins. Spectroscopic …

A solution of the Bohr Hamiltonian appropriate for triaxial shapes, involving a Davidson
potential in β and a steep harmonic oscillator in γ, centered around γ= π/6, is developed …