Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1997-01-21
Physics
Nuclear Physics
Nuclear Theory
12 pages, LaTeX. To appear in the Proceedings of the 15th Int. Workshop on Nuclear Theory, Rila Mountains, Bulgaria (June 1996
Scientific paper
Recent progress in two different fronts is reported. First, the concept of bisection of a harmonic oscillator (HO) or hydrogen atom (HA), used in the past in establishing the connection between U(3) and O(4), is generalized into multisection (trisection, tetrasection, etc). It is then shown that all symmetries of the N-dim anisotropic HO with rational ratios of frequencies (RHO), some of which are underlying the structure of superdeformed and hyperdeformed nuclei, can be obtained from the U(N) symmetry of the corresponding isotropic HO with an appropriate combination of multisections. Furthermore, it is seen that bisections of the N-dim HA, which possesses an O(N+1) symmetry, lead to the U(N) symmetry, so that further multisections of the HA lead to the symmetries of the N-dim RHO. Second, it is shown that there is evidence that the recently observed in superdeformed nuclear bands $\Delta I=4$ bifurcation is also occuring in rotational bands of diatomic molecules. In addition there is evidence that a $\Delta I=8$ bifurcation, of the same order of magnitude as the $\Delta I=4$ one, is observed in superdeformed nuclear bands and rotational bands of diatomic molecules.
Bonatsos Dennis
Daskaloyannis Costas
Drenska S. B.
Kolokotronis P.
Lalazissis Georgios A.
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