dorsal/arxiv
View SchemaSymmetries in nuclei and molecules
| Authors | Dennis Bonatsos, P. Kolokotronis, D. Lenis, C. Daskaloyannis, G. A. Lalazissis, S. B. Drenska, N. Minkov, P. P. Raychev, R. P. Roussev |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9701040 |
| URL | https://arxiv.org/abs/nucl-th/9701040 |
Abstract
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.
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"abstract": "Recent progress in two different fronts is reported. First, the concept of\nbisection of a harmonic oscillator (HO) or hydrogen atom (HA), used in the past\nin establishing the connection between U(3) and O(4), is generalized into\nmultisection (trisection, tetrasection, etc). It is then shown that all\nsymmetries of the N-dim anisotropic HO with rational ratios of frequencies\n(RHO), some of which are underlying the structure of superdeformed and\nhyperdeformed nuclei, can be obtained from the U(N) symmetry of the\ncorresponding isotropic HO with an appropriate combination of multisections.\nFurthermore, it is seen that bisections of the N-dim HA, which possesses an\nO(N+1) symmetry, lead to the U(N) symmetry, so that further multisections of\nthe HA lead to the symmetries of the N-dim RHO. Second, it is shown that there\nis evidence that the recently observed in superdeformed nuclear bands $\\Delta\nI=4$ bifurcation is also occuring in rotational bands of diatomic molecules. In\naddition there is evidence that a $\\Delta I=8$ bifurcation, of the same order\nof magnitude as the $\\Delta I=4$ one, is observed in superdeformed nuclear\nbands and rotational bands of diatomic molecules.",
"arxiv_id": "nucl-th/9701040",
"authors": [
"Dennis Bonatsos",
"P. Kolokotronis",
"D. Lenis",
"C. Daskaloyannis",
"G. A. Lalazissis",
"S. B. Drenska",
"N. Minkov",
"P. P. Raychev",
"R. P. Roussev"
],
"categories": [
"nucl-th"
],
"title": "Symmetries in nuclei and molecules",
"url": "https://arxiv.org/abs/nucl-th/9701040"
},
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