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Exact asymptotic solution of the Della Sala-Görling integral equation for the exchange-only potential for Be-like atomic ions at large Z |
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| Authors: | IA Howard NH March Á Nagy |
| Institution: | a Department of Physics, University of Antwerp, Groenenborgerlaan 171, B-2020 Antwerp, Belgium b Oxford University, Oxford, England, UK c Department of Theoretical Physics, University of Debrecen, H-4010 Debrecen, Hungary |
| Abstract: | Della Sala and Görling (DSG) have written an integral equation for the exchange-only potential Vx(r) in terms of the Dirac density matrix. Here, an exact asymptotic solution of this integral equation is presented, for the ground state of Be-like atomic ions, in terms of γ(r,r′) plus the 2s HOMO orbital. In the large Z limit of such ions, the DSG integral equation corrects the asymptotic form −e2/r of Vx(r) by exponentially decaying terms. This amounts to setting the polarizability equal to zero. |
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