Momentum dependence of the nuclear selfenergy in the relativistic Bruckner approach

Sep, 1997
18 pages
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19961997199801
Abstract:
We investigate the momentum dependence of the nucleon self-energy in nuclear matter. We apply the relativistic Brueckner-Hartree-Fock approach and adopt the Bonn A potential. A strong momentum dependence of the scalar and vector self-energy components can be observed when a commonly used pseudo-vector choice for the covariant representation of the T-matrix is applied. This momentum dependence is dominated by the pion exchange. We discuss the problems of this choice and its relations to on-shell ambiguities of the T-matrix representation. Starting from a complete pseudo-vector representation of the T-matrix, which reproduces correctly the pseudo-vector pion-exchange contributions at the Hartree-Fock level, we observe a much weaker momentum dependence of the self-energy. This fixes the range of the inherent uncertainty in the determination of the scalar and vector self-energy components. Comparing to other work, we find that extracting the self-energy components by a fit to the single particle potential leads to even more ambiguous results.
  • nuclear matter
  • nucleon: propagator
  • renormalization
  • momentum dependence
  • Hartree-Fock approximation: relativistic
  • potential
  • S-matrix
  • invariance: Lorentz
  • meson: exchange
  • pi: exchange