Extended study on a quasi-exact solution of the Bohr Hamiltonian

DOI10.1016/J.AOP.2016.09.011zbMath1378.81166OpenAlexW2527825774MaRDI QIDQ1691518

M. Chabab, M. Oulne, R. Budaca, A. Lahbas, P. Buganu

Publication date: 17 January 2018

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2016.09.011

zbMATH Keywords

Bohr Hamiltoniansextic potentialquadrupole collective statesshape phase transitions

Mathematics Subject Classification ID

Nuclear physics (81V35)

Related Items (5)

Collective motion in prolate \(\gamma\)-rigid nuclei within minimal length concept via a quantum perturbation method ⋮ \(q\)-deformed superstatistics of the anharmonic oscillator for unrelativistic and relativistic (K-G equation) cases in noncommutative plane ⋮ Quasi-exact description of the γ-unstable shape phase transition ⋮ Development of the perturbation theory using polynomial solutions ⋮ Exact solutions of the sextic oscillator from the bi-confluent Heun equation

Cites Work

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• Quasi-exactly-solvable problems and sl(2) algebra
• Emergence of Euclidean dynamical symmetry as a consequence of shape phase mixing
• Harmonic oscillator potential with a sextic anharmonicity in the prolate \(\gamma\)-rigid collective geometrical model
• A computer code for calculations in the algebraic collective model of the atomic nucleus
• Surface Oscillations in Even-Even Nuclei
• The γ-dependent part of the wave functions representing γ-unstable surface vibrations
• Collective excitations corresponding to quadrupole nuclear surface vibrations
• Partial dynamical symmetry
• Rotation-vibrational spectra of diatomic molecules and nuclei with Davidson interactions
• Relationship between the Bohr Collective Hamiltonian and the Interacting-Boson Model

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