Analytical solutions of the Bohr Hamiltonian with the Morse potential

I. Boztosun, D. Bonatsos, and I. Inci
Phys. Rev. C 77, 044302 – Published 8 April 2008

Abstract

Analytical solutions of the Bohr Hamiltonian are obtained in the γ-unstable case, as well as in an exactly separable rotational case with γ0, called the exactly separable Morse (ES-M) solution. Closed expressions for the energy eigenvalues are obtained through the asymptotic iteration method (AIM), the effectiveness of which is demonstrated by solving the relevant Bohr equations for the Davidson and Kratzer potentials. All medium mass and heavy nuclei with known β1 and γ1 bandheads have been fitted by using the two-parameter γ-unstable solution for transitional nuclei and the three-parameter ES-M for rotational ones. It is shown that bandheads and energy spacings within the bands are well reproduced for more than 50 nuclei in each case.

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  • Received 16 January 2008

DOI:https://doi.org/10.1103/PhysRevC.77.044302

©2008 American Physical Society

Authors & Affiliations

I. Boztosun1, D. Bonatsos2, and I. Inci1

  • 1Department of Physics, Erciyes University, Kayseri, Turkey
  • 2Institute of Nuclear Physics, N. C. S. R. “Demokritos,” GR-15310 Aghia Paraskevi, Attiki, Greece

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Issue

Vol. 77, Iss. 4 — April 2008

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