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Numerical Solution of a Sixth-Order Anharmonic Oscillator for Triaxial Deformed Nuclei

Author

Listed:
  • Petricǎ Buganu

    (“Horia Hulubei”—National Institute for R&D in Physics and Nuclear Engineering, St. Reactorului no. 30, 077125 Magurele, Romania)

  • Radi Benjedi

    (High Energy Physics and Astrophysics Laboratory, Department of Physics, Faculty of Science Semlalia, Cadi Ayyad University, P.O. Box 2390, Marrakesh 40000, Morocco)

  • Mustapha Oulne

    (High Energy Physics and Astrophysics Laboratory, Department of Physics, Faculty of Science Semlalia, Cadi Ayyad University, P.O. Box 2390, Marrakesh 40000, Morocco)

Abstract

The Davydov–Chaban Hamiltonian, which describes the quadrupole collective states of triaxial nuclei involving two polar coordinates and three Euler rotation angles, is numerically solved in a basis of Bessel functions of the first kind for a sixth-order anharmonic oscillator potential and a triaxial deformation, respectively. The proposed model is designed to describe a phase transition, as well as coexistence and mixing between an approximately spherical shape and a triaxial deformed one.

Suggested Citation

  • Petricǎ Buganu & Radi Benjedi & Mustapha Oulne, 2025. "Numerical Solution of a Sixth-Order Anharmonic Oscillator for Triaxial Deformed Nuclei," Mathematics, MDPI, vol. 13(3), pages 1-13, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:3:p:460-:d:1580117
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