Theoretical tests of scattering potential models for electron atom system : an alternative separation of exchange and correlation with correct long-range asymptotic behavior in density-functional theory

Abstract EN

The effects of scattering potentials are tested by using the partial wave method for low-energy elastic scattering of electrons from helium atom .

Roothaan- Hartree-Fock atomic wave functions are used to performing these calculations.

In this paper three modern models for correlation potentials I derive from Armiento-Mattsson (2003) and Baer-Neuhauser (2005) correlation energy functions respectively ,these three models used separately to constructing the optical (full) scattering potentials that used to performing my calculations and this can serve as new addition in this field where the results I get are discussed .

These optical scattering potential models consists of the sum of the energy dependent electron gas exchange potential (Hara version) plus the energy independent electron gas correlation potential (one of the models I derive in this work ) plus the long range polarization potential (Ali version) plus the well known static potential .I present a modify results for differential, total elastic and momentum transfer cross sections.

My models and corresponding my results can serve as a new addition in this field.

The results obtained in this paper are in good agreement with the other theoretical results of other investigators and with experimental measurements.