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

Abstract

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.

14 pages, 4 tables, 9 figures, accepted to be published in epj a

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• Nuclear shape phase transition within a conjonction of γ-rigid and γ-stable collective behaviours in deformation dependent mass formalism
• Davydov-Chaban Hamiltonian with deformation-dependent mass term for γ = 30°
• Collective motion in prolate γ-rigid nuclei within minimal length concept via a quantum perturbation method
• Calculations of the Decay Transitions of the Modified Poschl-Teller Potential Model via Bohr Hamiltonian Technique
• Bohr Hamiltonian with Hulthen plus ring-shaped potential for triaxial nuclei with deformation-dependent mass term
• Excited collective states of nuclei within Bohr Hamiltonian with Tietz-Hua potential
• Triaxial nuclei and analytical solutions of the conformable fractional Bohr Hamiltonian with some exponential-type potentials
• Bohr Hamiltonian with Pöschl Teller potential in γ unstable and γ stable pictures