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
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.
21.65.+f Nuclear matter - 21.60.Jz Hartree-Fock and random-phase approximations - 11.10.Gh Renormalization