This review delves into the utilization of a sextic oscillator within the β degree of freedom of
the Bohr Hamiltonian to elucidate critical-point solutions in nuclei, with a specific emphasis …

We examine the behavior of spin-zero bosons in an elastic medium which possesses a
screw dislocation, which is a type of topological defect. Therefore, we solve analytically the …

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 …

A diagonalization procedure for an SO (5) invariant Bohr Hamiltonian with a sextic potential
for the β shape variable, having simultaneous spherical and deformed minima, is presented …

A triaxial rotor Hamiltonian with a rigidly aligned high-j quasiparticle is treated by a time-
dependent variational principle, using angular momentum coherent states. The resulting …

In this paper, we investigate theoretically the effects of a spatially varying effective mass
distribution on the electronic and optical properties of octic anharmonic oscillators …

Atomic nuclei are characterized by a large variety of shapes: spherical [1], axially symmetric
ellipsoidal [2](having as special cases the superdeformed [3, 4] and hyperdeformed [5, 6] …

The main aim of the present paper is to solve the eigenvalues problem with the Bohr
collective Hamiltonian for γ-rigid nuclei within a model we have elaborated by combining …

Motivation Several theoretical comparisons with experimental data have recently pointed out
that the mass tensor of the collective Bohr Hamiltonian cannot be considered as a constant …

In this paper, four degree of freedom γ-rigid solutions of the Bohr Hamiltonian at γ 0= π/6 are
obtained. The relative variation between γ and the potential of the Hamiltonian is employed …