Analytic Solutions of the Ultra-relativistic Thomas-Fermi Equation
Solar and Stellar Astrophysics
2009-03-25 v1
Abstract
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.
Cite
@article{arxiv.0903.4095,
title = {Analytic Solutions of the Ultra-relativistic Thomas-Fermi Equation},
author = {Michael Rotondo and Remo Ruffini and She-Sheng Xue},
journal= {arXiv preprint arXiv:0903.4095},
year = {2009}
}
Comments
5 pages, 1 figure, 2 tables, to appear in the Proceedings of the Third Stueckelberg Workshop on Relativistic Field Theories, Cambridge Scientific Publisher, 2009