Closed analytical solutions of Bohr Hamiltonian with Manning-Rosen potential model

Abstract

In the present work, we have obtained closed analytical expressions for eigenvalues and eigenfunctions of the Bohr Hamiltonian with the Manning-Rosen potential for γ-unstable nuclei as well as exactly separable rotational ones with γ=0. Some heavy nuclei with known \b{eta} and γ bandheads have been fitted by using two parameters in the ν-unstable case and three parameters in the axially symmetric prolate deformed one. A good agreement with experimental data has been achieved.

8 pages, 2 tables, 5 figures (accepted to be published in ijmp e)

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Cited by in corpus (7)

• On γ-rigid regime of the Bohr-Mottelson Hamiltonian in the presence of a minimal length
• Electric quadrupole transitions of the Bohr Hamiltonian with Manning-Rosen potential
• Bohr Hamiltonian with an energy dependent $\gamma$-unstable Coulomb-like potential
• 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°
• Calculations of the Decay Transitions of the Modified Poschl-Teller Potential Model via Bohr Hamiltonian Technique
• Excited collective states of nuclei within Bohr Hamiltonian with Tietz-Hua potential