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

Petricǎ Buganu (), Radi Benjedi and Mustapha Oulne
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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

Mathematics, 2025, vol. 13, issue 3, 1-13

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.

Keywords: sextic potential; numerical solution; triaxial nuclei (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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