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arXiv · 1510.04551

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

M. Chabab·A. Lahbas·M. Oulne
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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.

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M. Chabab, A. Lahbas, M. Oulne. 2015-10-15. Closed analytical solutions of Bohr Hamiltonian with Manning-Rosen potential model. https://doi.org/10.1142/s0218301315500895

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