RELATIVISTIC EQUATION OF STATE AT SUBNUCLEAR DENSITIES IN THE THOMAS-FERMI APPROXIMATION
نویسندگان
چکیده
منابع مشابه
The Equation of State at Subnuclear Densities
We first discuss the thermal properties of bulk hot nucleon matter with variable proton to total baryon ratio, Y . Of particular interest are the phase transitions and the coexistence curves, which have unusual features because of the additional degree of freedom associated with Y . Coulomb and surface effects, which modify these properties, are treated with a nuclear Thomas-Fermi model. The la...
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We discuss a recently proposed analytic solution to the Thomas– Fermi (TF) equation and show that earlier approaches provide more accurate results. In particular, we show that a simple and straightforward rational approximation to the TF equation yields the slope at origin with unprecedented accuracy, as well as remarkable values of the TF function and its first derivative for other coordinate ...
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We briefly review the Thomas-Fermi statistical model of atoms in the classical non-relativistic formulation and in the generalised finite-nucleus relativistic formulation. We then discuss the classical generalisation of the model to finite temperatures in the non-relativistic approximation and present a new relativistic model at finite temperatures, investigating how to recover the existing the...
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Uniform semiclassical approximations for the number and kinetic-energy densities are derived for many noninteracting fermions in one-dimensional potentials with two turning points. The resulting simple, closed-form expressions contain the leading corrections to Thomas-Fermi theory, involve neither sums nor derivatives, are spatially uniform approximations, and are exceedingly accurate.
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ژورنال
عنوان ژورنال: The Astrophysical Journal
سال: 2014
ISSN: 0004-637X,1538-4357
DOI: 10.1088/0004-637x/788/2/185