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arXiv · 1605.05270

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

M. Chabab·A. El Batoul·A. Lahbas·M. Oulne
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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.

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M. Chabab, A. El Batoul, A. Lahbas, M. Oulne. 2016-05-17. Electric quadrupole transitions of the Bohr Hamiltonian with Manning-Rosen potential. https://doi.org/10.1016/j.nuclphysa.2016.05.012

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