dorsal/arxiv
View SchemaOn the ground--state energy of finite Fermi systems
| Authors | Jérôme Roccia, Patricio Leboeuf |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0703009 |
| URL | https://arxiv.org/abs/nucl-th/0703009 |
| DOI | 10.1103/PhysRevC.76.014301 |
| Journal | Phys.Rev.C76:014301,2007 |
Abstract
We study the ground--state shell correction energy of a fermionic gas in a mean--field approximation. Considering the particular case of 3D harmonic trapping potentials, we show the rich variety of different behaviors (erratic, regular, supershells) that appear when the number--theoretic properties of the frequency ratios are varied. For self--bound systems, where the shape of the trapping potential is determined by energy minimization, we obtain accurate analytic formulas for the deformation and the shell correction energy as a function of the particle number $N$. Special attention is devoted to the average of the shell correction energy. We explain why in self--bound systems it is a decreasing (and negative) function of $N$.
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"abstract": "We study the ground--state shell correction energy of a fermionic gas in a\nmean--field approximation.\n Considering the particular case of 3D harmonic trapping potentials, we show\nthe rich variety of different behaviors (erratic, regular, supershells) that\nappear when the number--theoretic properties of the frequency ratios are\nvaried. For self--bound systems, where the shape of the trapping potential is\ndetermined by energy minimization, we obtain accurate analytic formulas for the\ndeformation and the shell correction energy as a function of the particle\nnumber $N$. Special attention is devoted to the average of the shell correction\nenergy. We explain why in self--bound systems it is a decreasing (and negative)\nfunction of $N$.",
"arxiv_id": "nucl-th/0703009",
"authors": [
"J\u00e9r\u00f4me Roccia",
"Patricio Leboeuf"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.76.014301",
"journal_ref": "Phys.Rev.C76:014301,2007",
"title": "On the ground--state energy of finite Fermi systems",
"url": "https://arxiv.org/abs/nucl-th/0703009"
},
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