dorsal/arxiv
View SchemaAddendum: Attenuation of the intensity within a superdeformed band
| Authors | A. J. Sargeant, M. S. Hussein, M. P. Pato, N. Takigawa, M. Ueda |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0401059 |
| URL | https://arxiv.org/abs/nucl-th/0401059 |
| DOI | 10.1103/PhysRevC.69.067301 |
| Journal | Phys.Rev. C69 (2004) 067301 |
Abstract
We investigate a random matrix model [Phys. Rev. C {\bf 65} 024302 (2002] for the decay-out of a superdeformed band as a function of the parameters: $\Gamma^\downarrow/\Gamma_S$, $\Gamma_N/D$, $\Gamma_S/D$ and $\Delta/D$. Here $\Gamma^\downarrow$ is the spreading width for the mixing of an SD state $|0>$ with a normally deformed (ND) doorway state $|d>$, $\Gamma_S$ and $\Gamma_N$ are the electromagnetic widths of the the SD and ND states respectively, $D$ is the mean level spacing of the compound ND states and $\Delta$ is the energy difference between $|0>$ and $|d>$. The maximum possible effect of an order-chaos transition is inferred from analytical and numerical calculations of the decay intensity in the limiting cases for which the ND states obey Poisson and GOE statistics. Our results show that the sharp attenuation of the decay intensity cannot be explained solely by an order-chaos transition.
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"abstract": "We investigate a random matrix model [Phys. Rev. C {\\bf 65} 024302 (2002] for\nthe decay-out of a superdeformed band as a function of the parameters:\n$\\Gamma^\\downarrow/\\Gamma_S$, $\\Gamma_N/D$, $\\Gamma_S/D$ and $\\Delta/D$. Here\n$\\Gamma^\\downarrow$ is the spreading width for the mixing of an SD state $|0\u003e$\nwith a normally deformed (ND) doorway state $|d\u003e$, $\\Gamma_S$ and $\\Gamma_N$\nare the electromagnetic widths of the the SD and ND states respectively, $D$ is\nthe mean level spacing of the compound ND states and $\\Delta$ is the energy\ndifference between $|0\u003e$ and $|d\u003e$. The maximum possible effect of an\norder-chaos transition is inferred from analytical and numerical calculations\nof the decay intensity in the limiting cases for which the ND states obey\nPoisson and GOE statistics. Our results show that the sharp attenuation of the\ndecay intensity cannot be explained solely by an order-chaos transition.",
"arxiv_id": "nucl-th/0401059",
"authors": [
"A. J. Sargeant",
"M. S. Hussein",
"M. P. Pato",
"N. Takigawa",
"M. Ueda"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.69.067301",
"journal_ref": "Phys.Rev. C69 (2004) 067301",
"title": "Addendum: Attenuation of the intensity within a superdeformed band",
"url": "https://arxiv.org/abs/nucl-th/0401059"
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