Fractional dynamic symmetries and the ground state properties of nuclei

Details Fractional dynamic symmetries and the ground state properties of nuclei Fractional dynamic symmetries and the ground state properties of nuclei

2008-06-13

arxiv.org/abs/0806.2300v2

Physica A. 389 (2010) 693-704

Physics

General Physics

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

Scientific paper

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.

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