Relativistic theory of binding energies of heavy positive ions

✍ Scribed by U. Marini; Bettolo Marconi; N. H. March

• Publisher: John Wiley and Sons
• Year: 1981
• Tongue: English
• Weight: 554 KB
• Volume: 20
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/qua.560200311

✦ Synopsis

Abstract

The self‐consistent relativistic Thomas–Fermi theory of heavy positive ions with N electrons and nuclear charge Ze is shown to lead to a chemical potential μ which has the scaling property

with ϵ = α^2^Z^2^, α being the fine structure constant. Combining this with the Layzer–Bahcall expansion for the total energy E(Z, N), namely,

it is proved that the coefficients E~nm~ (N) at large N have the asymptotic behavior N^n–2__m__/3#1/3^. The corresponding result for the scaling of the relativistic Thomas–Fermi energy is

Scaling properties of the higher order terms in E~nm~ (N) and E(Z, N) are also proposed.