Cranking calculations with self-consistent symmetries in a triaxial basis

B. Grammaticos, K. F. Liu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


In this paper the self-consistent symmetries in a rotating frame are examined, and their consequences are demonstrated in the case of a triaxial Cartesian basis. The use of Skyrme interaction together with the symmetry properties are shown to lead to significant simplifications in the calculations. Next the rotating-oscillator model is introduced and a simple derivation of the wave functions is given. A variational calculation is then carried out for the rotational spectrum of light nuclei. The well-known antistretching effect as well as the occurrence of triaxial shapes at high angular momenta are well reproduced in this calculation, although the spectra obtained are compressed, compared to the exact projection results. The cut-off frequency calculation agrees with the prediction based on the isotropic-velocity-distribution hypothesis.

Original languageEnglish
Pages (from-to)349-372
Number of pages24
JournalIl Nuovo Cimento A
Issue number3
StatePublished - Apr 1979

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics


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