Fractional dynamic symmetries and the ground state properties of nuclei

Abstract

Based on the Riemann- and Caputo definition of the fractional derivative we use the fractional extensions of the standard rotation group SO(3) to construct a higher dimensional representation of a fractional rotation group with mixed derivative types. An extended symmetric rotor model is derived, which predicts the sequence of magic proton and neutron numbers accurately. The ground state properties of nuclei are correctly reproduced within the framework of this model.

15 pages, 7 figures, extended version, minimized deformations, extended rotor model

References in corpus (3)

• Gauge invariance in fractional field theories
• The fractional symmetric rigid rotor
• Properties of a fractional derivative Schroedinger type wave equation and a new interpretation of the charmonium spectrum

Cited by in corpus (6)

• Common aspects of q-deformed Lie algebras and fractional calculus
• q-deformed Lie algebras and fractional calculus
• Infrared spectroscopy of diatomic molecules - a fractional calculus approach
• Fractional phase transition in medium size metal clusters and some remarks on magic numbers in gravitationally and weakly interacting clusters
• Fractional quantum numbers deduced from experimental ground state meson spectra
• Electron Spin Precession for the Time Fractional Pauli Equation