Electric quadrupole transitions of the Bohr Hamiltonian with Manning-Rosen potential

Abstract

Analytical expressions of the wave functions are derived for a Bohr Hamiltonian with the Manning{Rosen potential in the cases of γ-unstable nuclei and axially symmetric prolate deformed ones with γ=0. By exploiting the results we have obtained in a recent work on the same theme Ref. [1], we have calculated the B(E2) transition rates for 34 γ-unstable and 38 rotational nuclei and compared to experimental data, revealing a qualitative agreement with the experiment and phase transitions within the ground state band and showing also that the Manning-Rosen potential is more appropriate for such calculations than other potentials.

arXiv comment20 pages, 2 figures, 4 Tables (to appear in Nuclear Physics A)

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Cited by in corpus (7)

• 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
• Bohr Hamiltonian with Pöschl Teller potential in γ unstable and γ stable pictures