On the ground--state energy of finite Fermi systems
| dc.creator | Roccia, Jérôme | |
| dc.creator | Leboeuf, Patricio | |
| dc.date | 2007-03-02 | |
| dc.date | 2007-09-04 | |
| dc.date.accessioned | 2026-07-07T10:38:39Z | |
| dc.date.available | 2026-07-07T10:38:39Z | |
| dc.description | 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 $N$. | |
| dc.description | 10 pages, 5 figures, 2 tables | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0703009 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0703009 | |
| dc.identifier | Phys.Rev.C76:014301,2007 | |
| dc.identifier | doi:10.1103/PhysRevC.76.014301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/180797 | |
| dc.subject | Nuclear Theory | |
| dc.title | On the ground--state energy of finite Fermi systems | |
| dc.type | text |