dorsal/arxiv
View SchemaLevel Statistics of Near-Yrast States in Rapidly Rotating Nuclei
| Authors | M. Matsuo, T. Døssing, E. Vigezzi, S. Åberg |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9703048 |
| URL | https://arxiv.org/abs/nucl-th/9703048 |
| DOI | 10.1016/S0375-9474(97)00170-X |
Abstract
The nearest neighbour level spacing distribution and the $\Delta_3$ statistics of level fluctuations associated with very high spin states ($I \gesim 30$) in rare-earth deformed nuclei are analysed by means of a cranked shell model. The many particle-many hole configurations created in the rotating Nilsson potential are mixed by the surface-delta two-body residual interaction. The levels in the near-yrast region show a Poisson-like level spacing distribution. As the intrinsic excitation energy $U$ increases, the level statistics shows a gradual transition from order to chaos, reaching at $U \gesim 2$ MeV the Wigner distribution typical of the Gaussian orthogonal ensemble of random matrices. This transition is caused by the residual two-body interaction. On the other hand, the level spacings between the yrast and the first excited state show a peculiar behaviour, displaying a Wigner-like distribution instead of the Poisson-like distribution seen for the other near-yrast rotational states. The lowest spacings reflect the properties of the single-particle orbits in the mean-field, and are only weakly affected by the residual two-body interaction.
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"abstract": "The nearest neighbour level spacing distribution and the $\\Delta_3$\nstatistics of level fluctuations associated with very high spin states ($I\n\\gesim 30$) in rare-earth deformed nuclei are analysed by means of a cranked\nshell model. The many particle-many hole configurations created in the rotating\nNilsson potential are mixed by the surface-delta two-body residual interaction.\nThe levels in the near-yrast region show a Poisson-like level spacing\ndistribution. As the intrinsic excitation energy $U$ increases, the level\nstatistics shows a gradual transition from order to chaos, reaching at $U\n\\gesim 2$ MeV the Wigner distribution typical of the Gaussian orthogonal\nensemble of random matrices. This transition is caused by the residual two-body\ninteraction. On the other hand, the level spacings between the yrast and the\nfirst excited state show a peculiar behaviour, displaying a Wigner-like\ndistribution instead of the Poisson-like distribution seen for the other\nnear-yrast rotational states. The lowest spacings reflect the properties of the\nsingle-particle orbits in the mean-field, and are only weakly affected by the\nresidual two-body interaction.",
"arxiv_id": "nucl-th/9703048",
"authors": [
"M. Matsuo",
"T. D\u00f8ssing",
"E. Vigezzi",
"S. \u00c5berg"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(97)00170-X",
"title": "Level Statistics of Near-Yrast States in Rapidly Rotating Nuclei",
"url": "https://arxiv.org/abs/nucl-th/9703048"
},
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