The Bohr Hamiltonian Solution with the Morse Potential for the {gamma}-unstable and the Rotational Cases

Journal Article · Tue Nov 11 00:00:00 EST 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3039832· OSTI ID:21254807

Inci, I; Boztosun, I ^[1]; Bonatsos, D ^[2]

---

1. Department of Physics, Erciyes University, 38039, Kayseri (Turkey)
2. Insitue of Nuclear Physics, N.C.S.R. 'Demokritos' GR-15310 Aghia Paraskevi, Attiki (Greece)

Analytical solutions of the collective Bohr Hamiltonian with the Morse potential have been obtained for the U(5)-O(6) and U(5)-SU(3) transition regions through the Asymptotic Iteration Method (AIM). The obtained energy eigenvalue equations have been used to get the experimental excitation energy spectrum of Xe and Yb isotopes. The results are in good agreement with experimental data.

• OSTI ID: 21254807
• Journal Information: AIP Conference Proceedings, Vol. 1072, Issue 1; Conference: International conference on nuclear physics and astrophysics: From stable beams to exotic nuclei, Cappadocia (Turkey), 25-30 Jun 2008; Other Information: DOI: 10.1063/1.3039832; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANALYTICAL SOLUTION
ASYMPTOTIC SOLUTIONS
EIGENVALUES
ENERGY SPECTRA
EQUATIONS
EXCITATION
HADRONIC ATOMS
HAMILTONIANS
ITERATIVE METHODS
MORSE POTENTIAL
O GROUPS
SU-3 GROUPS
U-5 GROUPS
XENON ISOTOPES
YTTERBIUM ISOTOPES