Symmetries in nuclei and molecules

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dc.creatorBonatsos, Dennis
dc.creatorKolokotronis, P.
dc.creatorLenis, D.
dc.creatorDaskaloyannis, C.
dc.creatorLalazissis, G. A.
dc.creatorDrenska, S. B.
dc.creatorMinkov, N.
dc.creatorRaychev, P. P.
dc.creatorRoussev, R. P.
dc.date1997-01-21
dc.date.accessioned2026-07-07T05:41:53Z
dc.date.available2026-07-07T05:41:53Z
dc.descriptionRecent 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 $ΔI=4$ bifurcation is also occuring in rotational bands of diatomic molecules. In addition there is evidence that a $ΔI=8$ bifurcation, of the same order of magnitude as the $ΔI=4$ one, is observed in superdeformed nuclear bands and rotational bands of diatomic molecules.
dc.description12 pages, LaTeX. To appear in the Proceedings of the 15th Int. Workshop on Nuclear Theory, Rila Mountains, Bulgaria (June 1996)
dc.identifierhttps://arxiv.org/abs/nucl-th/9701040
dc.identifierhttp://arxiv.org/abs/nucl-th/9701040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/82738
dc.subjectNuclear Theory
dc.titleSymmetries in nuclei and molecules
dc.typetext

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