Bohr Hamiltonian with Hulth?en plus Ring shaped potential for triaxial nuclei

In this paper, we solve the eigenvalues and eigenvectors problem with Bohr collective Hamil- tonian for triaxial nuclei. The ? beta part of the collective potential is taken to be equal to Hulth?en potential while the gamma part is defined by a new generalized potential obtained from a ring shaped one. Analytical expressions for spectra and wave functions are derived by means of a recent version of the asymptotic iteration method and the usual approximations. The calculated energies and B(E2) transition rates are compared with experimental data and the available theoretical results in the literature.Comment: 14 pages, 4 tables, 9 figures, accepted to be published in epj

On {\gamma}-rigid regime of the Bohr-Mottelson Hamiltonian in the presence of a minimal length

A prolate {\gamma}-rigid regime of the Bohr-Mottelson Hamiltonian within the minimal length formalism, involving an infinite square well like potential in {\beta} collective shape variable, is developed and used to describe the spectra of a variety of vibrational-like nuclei. The effect of the minimal length on the energy spectrum and the wave function is duly investigated. Numerical calculations are performed for some nuclei revealing a qualitative agreement with the available experimental data.Comment: 8 pages, 2 tables, 6 figures (preprint with corrected typos and a slight change in the title