Mapping exchange in relativistic Hartree-Fock

A. Sulaksono; T. Bürvenich; J. A. Maruhn; P. G. Reinhard; W. Greiner

doi:10.1016/S0003-4916(03)00073-3

Mapping exchange in relativistic Hartree-Fock

A. Sulaksono, T. Bürvenich, J. A. Maruhn, P. G. Reinhard, W. Greiner

Department of Physics

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

We show that formally for the standard ansatz relativistic point-coupling mean-field (RMF-PC) model a Lagrangian density L is not equivalent in Hartree and Hartree-Fock approximations. The equivalency can be achieved only if we use a "complete" ansatz at the cost of introducing new parameters in the model. An approximate treatment of the exchange terms from standard RMF-PC indicates that these effects cannot be easily, if at all, absorbed by a Dirac-Hartree approximation.

Original language	English
Pages (from-to)	36-57
Number of pages	22
Journal	Annals of Physics
Volume	306
Issue number	1
DOIs	https://doi.org/10.1016/S0003-4916(03)00073-3
Publication status	Published - Jul 2003

Keywords

Finite nuclei
Relativistic Hartree-Fock
Relativistic mean-field model

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10.1016/S0003-4916(03)00073-3

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abstract = "We show that formally for the standard ansatz relativistic point-coupling mean-field (RMF-PC) model a Lagrangian density L is not equivalent in Hartree and Hartree-Fock approximations. The equivalency can be achieved only if we use a {"}complete{"} ansatz at the cost of introducing new parameters in the model. An approximate treatment of the exchange terms from standard RMF-PC indicates that these effects cannot be easily, if at all, absorbed by a Dirac-Hartree approximation.",

keywords = "Finite nuclei, Relativistic Hartree-Fock, Relativistic mean-field model",

author = "A. Sulaksono and T. B{\"u}rvenich and Maruhn, {J. A.} and Reinhard, {P. G.} and W. Greiner",

note = "Funding Information: The authors would like to thank M. Bender and T. Cornelius for stimulating discussions. A.S. greatfully acknowledges financial support from the DAAD. This work was supported in part by the Bundesministerium f{\"u}r Bildung und Forschung (BMBF), Project No. 06 ER 808, by Gesellschaft f{\"u}r Schwerionenforschung (GSI). ",

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T1 - Mapping exchange in relativistic Hartree-Fock

AU - Sulaksono, A.

AU - Bürvenich, T.

AU - Maruhn, J. A.

AU - Reinhard, P. G.

AU - Greiner, W.

N1 - Funding Information: The authors would like to thank M. Bender and T. Cornelius for stimulating discussions. A.S. greatfully acknowledges financial support from the DAAD. This work was supported in part by the Bundesministerium für Bildung und Forschung (BMBF), Project No. 06 ER 808, by Gesellschaft für Schwerionenforschung (GSI).

PY - 2003/7

Y1 - 2003/7

N2 - We show that formally for the standard ansatz relativistic point-coupling mean-field (RMF-PC) model a Lagrangian density L is not equivalent in Hartree and Hartree-Fock approximations. The equivalency can be achieved only if we use a "complete" ansatz at the cost of introducing new parameters in the model. An approximate treatment of the exchange terms from standard RMF-PC indicates that these effects cannot be easily, if at all, absorbed by a Dirac-Hartree approximation.

AB - We show that formally for the standard ansatz relativistic point-coupling mean-field (RMF-PC) model a Lagrangian density L is not equivalent in Hartree and Hartree-Fock approximations. The equivalency can be achieved only if we use a "complete" ansatz at the cost of introducing new parameters in the model. An approximate treatment of the exchange terms from standard RMF-PC indicates that these effects cannot be easily, if at all, absorbed by a Dirac-Hartree approximation.

KW - Finite nuclei

KW - Relativistic Hartree-Fock

KW - Relativistic mean-field model

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U2 - 10.1016/S0003-4916(03)00073-3

DO - 10.1016/S0003-4916(03)00073-3

M3 - Article

AN - SCOPUS:0037673677

SN - 0003-4916

VL - 306

SP - 36

EP - 57

JO - Annals of Physics

JF - Annals of Physics

IS - 1

ER -

Mapping exchange in relativistic Hartree-Fock

Abstract

Keywords

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