The Structure of nuclear systems derived from low momentum nucleon nucleon potentials

Oct, 2002
16 pages
Published in:
  • Nucl.Phys.A 723 (2003) 32-44
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Abstract:
Various nuclear structure observables are evaluated employing low-momentum nucleon-nucleon (NN) potentials VlowkV_{\rm low-k} derived from the CD-Bonn and Nijmegen NN interactions VNNV_{NN}. By construction, the high momentum modes of the original VNNV_{NN} are integrated out in VlowkV_{\rm low-k}, with the requirement that the deuteron binding energy and low energy phase shifts of VNNV_{NN} are exactly reproduced. Using this interaction, we evaluate the bulk properties (binding energy and saturation density) of nuclear matter and finite nuclei, in particular their dependence on the cut-off parameter. We also study the pairing gap and the residual interaction in nuclear matter in terms of the Landau parametrization. At low and medium densities, the HF and BHF binding energies for nuclear matter calculated with the VlowkV_{\rm low-k}'s derived from the CD-Bonn and Nijmegen potentials are nearly identical. The pairing gaps and Landau parameters derived from VlowkV_{\rm low-k} are remarkably close to those given by the full-space VNNV_{NN}. The VlowkV_{\rm low-k} interactions, however, fail to reproduce the saturation property of nuclear matter at higher densities if the cut-off for the high momentum modes is assumed density independent.
Note:
  • 16 pages including 4 Figures
  • 21.30.Fe
  • 13.75.Cs
  • 27.80.+j
  • 21.60.-n
  • Forces in hadronic systems and effective interactions
  • Nucleon–nucleon interactions
  • Properties of nuclei
  • Nuclear structure: models and methods