2009/03/24 by Michael F. Rotondo, Michael Rotondo, R. Ruffini +5
Physics and Astronomy · #FOS: Physical sciences #Nuclear physics research studies #Quantum chaos and dynamical systems #Solar and Stellar Astrophysics (astro-ph.SR) #Statistical Mechanics and Entropy #astro-ph.SR
paper · pdf · doi:10.48550/arxiv.0903.4095
5 pages, 1 figure, 2 tables, to appear in the Proceedings of the Third Stueckelberg Workshop on Relativistic Field Theories, Cambridge Scientific Publisher, 2009
arxiv created 2009/03/24 · openalex publication_date 2009/03/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.