期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 389, 期 4, 页码 693-704出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2009.11.016
关键词
Perturbation and fractional calculus methods; Nuclear shell models; Ground state properties of nuclei
Based on the Riemann and Caputo definitions 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. (C) 2009 Elsevier B.V. All rights reserved.
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