dorsal/arxiv
View SchemaEvolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. II. Classical trajectories
| Authors | Michal Macek, Pavel Cejnar, Jan Jolie, Stefan Heinze |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0504017 |
| URL | https://arxiv.org/abs/nucl-th/0504017 |
| DOI | 10.1103/PhysRevC.73.014307 |
| Journal | Phys.Rev. C73 (2006) 014307 |
Abstract
This article continues our previous study of level dynamics in the [O(6)-U(5)]$\supset$O(5) transition of the interacting boson model [nucl-th/0504016] using the semiclassical theory of spectral fluctuations. We find classical monodromy, related to a singular bundle of orbits with infinite period at energy E=0, and bifurcations of numerous periodic orbits for E>0. The spectrum of allowed ratios of periods associated with beta- and gamma-vibrations exhibits an abrupt change around zero energy. These findings explain anomalous bunching of quantum states in the E$\approx$0 region, which is responsible for the redistribution of levels between O(6) and U(5) multiplets.
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"abstract": "This article continues our previous study of level dynamics in the\n[O(6)-U(5)]$\\supset$O(5) transition of the interacting boson model\n[nucl-th/0504016] using the semiclassical theory of spectral fluctuations. We\nfind classical monodromy, related to a singular bundle of orbits with infinite\nperiod at energy E=0, and bifurcations of numerous periodic orbits for E\u003e0. The\nspectrum of allowed ratios of periods associated with beta- and\ngamma-vibrations exhibits an abrupt change around zero energy. These findings\nexplain anomalous bunching of quantum states in the E$\\approx$0 region, which\nis responsible for the redistribution of levels between O(6) and U(5)\nmultiplets.",
"arxiv_id": "nucl-th/0504017",
"authors": [
"Michal Macek",
"Pavel Cejnar",
"Jan Jolie",
"Stefan Heinze"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.014307",
"journal_ref": "Phys.Rev. C73 (2006) 014307",
"title": "Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. II. Classical trajectories",
"url": "https://arxiv.org/abs/nucl-th/0504017"
},
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