### Abstract

Della Sala and Görling (DSG) have written an integral equation for the exchange-only potential V_{x} (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 - e^{2} / r of V_{x} (r) by exponentially decaying terms. This amounts to setting the polarizability equal to zero.

Original language | English |
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Pages (from-to) | 3256-3258 |

Number of pages | 3 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 372 |

Issue number | 18 |

DOIs | |

Publication status | Published - Apr 28 2008 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*372*(18), 3256-3258. https://doi.org/10.1016/j.physleta.2008.01.050

**Exact asymptotic solution of the Della Sala-Görling integral equation for the exchange-only potential for Be-like atomic ions at large Z.** / Howard, I. A.; March, N. H.; Nagy, A.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 372, no. 18, pp. 3256-3258. https://doi.org/10.1016/j.physleta.2008.01.050

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TY - JOUR

T1 - Exact asymptotic solution of the Della Sala-Görling integral equation for the exchange-only potential for Be-like atomic ions at large Z

AU - Howard, I. A.

AU - March, N. H.

AU - Nagy, A.

PY - 2008/4/28

Y1 - 2008/4/28

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=41649098152&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=41649098152&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2008.01.050

DO - 10.1016/j.physleta.2008.01.050

M3 - Article

AN - SCOPUS:41649098152

VL - 372

SP - 3256

EP - 3258

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 18

ER -