Comparaison between Coulomb and Hulthèn potentials within Bohr Hamiltonian for $γ$-rigid nuclei in the presence of minimal length

Abstract

In this work we solve the Schrödinger equation for Bohr Hamiltonian with Coulomb and Hulthén potentials within the formalism of minimal length in order to obtain analytical expressions for the energy eigenvalues and eigenfunctions by means of asymptotic iteration method. The obtained formulas of the energy spectrum and wave functions, are used to calculate excitation energies and transition rates of $γ$-rigid nuclei and compared with the experimental data at the shape phase critical point X(3) in nuclei.

8 pages, 1 Figure, LaTeX, contribution to the Proceedings of the 37-th International Workshop on Nuclear Theory (IWNT-37), Rila Mountains, Bulgaria, June 25-July 1, 2018. Editors: M. Gaidarov and N. Minkov, Published by Heron Press Ltd., Sofia, Bulgaria, ISSN 1313-2822