Relativistic Hartree-Fock schemes and effect of self-consistency
S.S. Wu - J.M. Zhu - K.Z. Liu - Y.J. Yao
Center for Theoretical Physics and Department of Physics, Jilin University,
Changchun 130023, P.R. China
Received: 12 March 1999 / Revised version: 6 September 1999 Communicated by P. Schuck
Abstract
A new effect of self-consistency in the relativistic Hartree-Fock (HF)
approximation is studied by a simple model and a renormalized calculation. A
comparison is made between two different HF schemes: one requiring
self-consistency in the HF potential (scheme P) and the other in the baryon
propagator (scheme BP). Our results show that scheme P is a good
aproximation to scheme BP for the calculation of the baryon propagator and
the self-consistency requirements make the results obtained by the two
schemes closer to each other, because the self-consistency in scheme BP
diminishes the continuum part of the spectral representation for the baryon
propagator, while the self-consistency in scheme P yields a baryon
propagator which approximates closely to the HF result contributed by the
converged single particle part of the above spectral representation alone.
PACS
21.65.+f Nuclear matter -
21.60.Jz Hartree-Fock and random-phase approximations -
11.10.Gh Renormalization
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