Richard Herrmann 2007 J. Phys. G: Nucl. Part. Phys. 34 607 doi:10.1088/0954-3899/34/4/001
Richard Herrmann
Show affiliationsBased on the Riemann fractional derivative the Casimir operators and multiplets for the fractional extension of the rotation group SO(n) are calculated algebraically. The spectrum of the corresponding fractional symmetric rigid rotor is discussed. It is shown that the rotational, vibrational and γ-unstable limits of the standard geometric collective models are particular limits of this spectrum. A comparison with the ground-state band spectra of nuclei shows an agreement with experimental data better than 2%. The derived results indicate that the fractional symmetric rigid rotor is an appropriate tool for a description of low-energy nuclear excitations.
21.60.Fw Models based on group theory
23.20.Lv gamma transitions and level energies
27.70.+q 150(less-than-or-equal-to)A(less-than-or-equal-to)189
Issue 4 (April 2007)
Received 30 October 2006
Published 2 March 2007
Richard Herrmann 2007 J. Phys. G: Nucl. Part. Phys. 34 607
A Bandyopadhyay et al 2006 Nanotechnology 17 227
B P Andreasson et al 2009 J. Phys.: Conf. Ser. 190 012074
Göran Bergqvist 1997 Class. Quantum Grav. 14 2577
V G Peters et al 1990 Phys. Med. Biol. 35 1317
Bruce W Westbury 2005 J. Phys. A: Math. Gen. 38 L31
G Lhersonneau et al 1980 J. Phys. G: Nucl. Phys. 6 1283
Selemon Bekele (for the STAR Collaboration) 2004 J. Phys. G: Nucl. Part. Phys. 30 S229
Wei-guo Feng et al 1990 J. Phys.: Condens. Matter 2 5729
T Padmanabhan 2004 Class. Quantum Grav. 21 L1