dorsal/arxiv
View SchemaConnection between the "Strutinsky level density" and the semiclassical level density (published version)
| Authors | B. Mohammed-Azizi, D. E. Medjadi |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0508010 |
| URL | https://arxiv.org/abs/nucl-th/0508010 |
| DOI | 10.1103/PhysRevC.74.054302 |
| Journal | Phys.Rev. C74 (2006) 054302 |
Abstract
We establish an analytical link between the level density obtained by means of the Strutinsky averaging method, and the semiclassical level density. This link occurs only in the so-called "asymptotic limit". It turns out that the Strutinsky method amounts to an approximation to the semiclassical method. This approximation contains an unavoidable remainder which constitutes an intrinsic noise in comparison to the semiclassical method. Thus, the "old" problem of the dependency of the Strutinsky procedure on the two free smoothing parameters of the averaging is intimately connected to this noise. On the other hand, we demonstrate that the noise of the method is small in the average density of states and in the average energy, whereas it might be non-negligible in the shell correction itself. In order to improve this method, we give a "rule" which consists simply of minimizing the relative error made on the average energy.
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"abstract": "We establish an analytical link between the level density obtained by means\nof the Strutinsky averaging method, and the semiclassical level density. This\nlink occurs only in the so-called \"asymptotic limit\". It turns out that the\nStrutinsky method amounts to an approximation to the semiclassical method. This\napproximation contains an unavoidable remainder which constitutes an intrinsic\nnoise in comparison to the semiclassical method. Thus, the \"old\" problem of the\ndependency of the Strutinsky procedure on the two free smoothing parameters of\nthe averaging is intimately connected to this noise. On the other hand, we\ndemonstrate that the noise of the method is small in the average density of\nstates and in the average energy, whereas it might be non-negligible in the\nshell correction itself. In order to improve this method, we give a \"rule\"\nwhich consists simply of minimizing the relative error made on the average\nenergy.",
"arxiv_id": "nucl-th/0508010",
"authors": [
"B. Mohammed-Azizi",
"D. E. Medjadi"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.74.054302",
"journal_ref": "Phys.Rev. C74 (2006) 054302",
"title": "Connection between the \"Strutinsky level density\" and the semiclassical level density (published version)",
"url": "https://arxiv.org/abs/nucl-th/0508010"
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