dorsal/arxiv
View SchemaDecay out of a Superdeformed Band
| Authors | J. Z. Gu, H. A. Weidenmueller |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9906059 |
| URL | https://arxiv.org/abs/nucl-th/9906059 |
| DOI | 10.1016/S0375-9474(99)00362-0 |
| Journal | Nucl.Phys. A660 (1999) 197-215 |
Abstract
Using a statistical model for the normally deformed states and for their coupling to a member of the superdeformed band, we calculate the ensemble average and the fluctuations of the intensity for decay out of the superdeformed band and of the intraband decay intensity. We show that both intensities depend on two dimensionless variables: The ratio $\Gamma^{\downarrow}/\Gamma_S$ and the ratio $\Gamma_N/d$. Here, $\Gamma^{\downarrow}$ is the spreading width for the mixing of the superdeformed and the normally deformed states, $d$ is the mean level spacing of the latter, and $\Gamma_S$ ($\Gamma_N$) is the width for gamma decay of the superdeformed state (of the normally deformed states, respectively). This parametric dependence differs from the one predicted by the approach of Vigezzi et al. where the relevant dimensionless variables are $\Gamma_N/\Gamma_S$ and $\Gamma^{\downarrow}/d$. We give analytical and numerical results for the decay intensities as functions of the dimensionless variables, including an estimate of the error incurred by performing the ensemble average, and we present fit formulas useful for the analysis of experimental data. We compare our results with the approach of Vigezzi et al. and establish the conditions under which this approach constitutes a valid approximation.
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"abstract": "Using a statistical model for the normally deformed states and for their\ncoupling to a member of the superdeformed band, we calculate the ensemble\naverage and the fluctuations of the intensity for decay out of the\nsuperdeformed band and of the intraband decay intensity. We show that both\nintensities depend on two dimensionless variables: The ratio\n$\\Gamma^{\\downarrow}/\\Gamma_S$ and the ratio $\\Gamma_N/d$. Here,\n$\\Gamma^{\\downarrow}$ is the spreading width for the mixing of the\nsuperdeformed and the normally deformed states, $d$ is the mean level spacing\nof the latter, and $\\Gamma_S$ ($\\Gamma_N$) is the width for gamma decay of the\nsuperdeformed state (of the normally deformed states, respectively). This\nparametric dependence differs from the one predicted by the approach of Vigezzi\net al. where the relevant dimensionless variables are $\\Gamma_N/\\Gamma_S$ and\n$\\Gamma^{\\downarrow}/d$. We give analytical and numerical results for the decay\nintensities as functions of the dimensionless variables, including an estimate\nof the error incurred by performing the ensemble average, and we present fit\nformulas useful for the analysis of experimental data. We compare our results\nwith the approach of Vigezzi et al. and establish the conditions under which\nthis approach constitutes a valid approximation.",
"arxiv_id": "nucl-th/9906059",
"authors": [
"J. Z. Gu",
"H. A. Weidenmueller"
],
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],
"doi": "10.1016/S0375-9474(99)00362-0",
"journal_ref": "Nucl.Phys. A660 (1999) 197-215",
"title": "Decay out of a Superdeformed Band",
"url": "https://arxiv.org/abs/nucl-th/9906059"
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