Analytic Solutions of the Ultra-relativistic Thomas-Fermi Equation
| dc.creator | Rotondo, Michael | |
| dc.creator | Ruffini, Remo | |
| dc.creator | Xue, She-Sheng | |
| dc.date | 2009-03-24 | |
| dc.date.accessioned | 2026-07-07T12:56:07Z | |
| dc.date.available | 2026-07-07T12:56:07Z | |
| dc.description | It is well known that the ultra-relativistic Thomas-Fermi equation, amply adopted in the study of heavy nuclei, admits an exact solution for a constant proton distribution within a spherical core of radius Rc. Here exact solutions of a generalized ultra-relativistic Thomas-Fermi equation are presented, assuming a Wood-Saxon-like proton distribution and its further generalizations. These solutions present an overcritical electric field close to their surface. The variation of the electric fields as a function of the generalized Wood-Saxon parameters are studied. | |
| dc.description | 5 pages, 1 figure, 2 tables, to appear in the Proceedings of the Third Stueckelberg Workshop on Relativistic Field Theories, Cambridge Scientific Publisher, 2009 | |
| dc.identifier | https://arxiv.org/abs/0903.4095 | |
| dc.identifier | http://arxiv.org/abs/0903.4095 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224475 | |
| dc.subject | Solar and Stellar Astrophysics | |
| dc.title | Analytic Solutions of the Ultra-relativistic Thomas-Fermi Equation | |
| dc.type | text |