Open AccessParametrization of the effective potential in sodium clusters
Author(s) -
B. A. Kotsos,
M. E. Grypeos
Publication year - 2020
Publication title -
hnps advances in nuclear physics
Language(s) - English
Resource type - Journals
eISSN - 2654-0088
pISSN - 2654-007X
DOI - 10.12681/hnps.2876
Subject(s) - parametrization (atmospheric modeling) , jellium , simple (philosophy) , function (biology) , radius , mathematics , expression (computer science) , physics , quantum mechanics , computer science , electron , philosophy , computer security , epistemology , biology , programming language , radiative transfer , evolutionary biology
The effective radial electronic potentials for neutral sodium clusters determined by the local density approximation and the jellium model are parametrized by means οf (symmetrized) Woods-Saxon and "Wine-Bottle" symmetrized Woods-Saxon potentials. The potential parameters are deter mined by various least-squares fitting procedures. Particular attention is paid to the dependence of the radius parameter R on the particle number Ν and it is realized that for relatively smaller values of N, complex expressions of R as a function of N, are more appropriate than the standard one R = r_0N^{1/3}. It is also found that improved results in these cases are obtained with an expression, of the form R = r_0N^{1/3} + 6, which is still very simple.