The structure of nuclear systems derived from low momentum nucleon-nucleon potentials

Abstract

Various nuclear structure observables are evaluated employing low-momentum nucleon-nucleon (NN) potentials $V_{\mathrm{low}-\mathrm{k}}$ derived from the CD-Bonn and Nijmegen NN interactions $V_{NN}$. By construction, the high momentum modes of the original $V_{NN}$ are integrated out in $V_{\mathrm{low}-\mathrm{k}}$, with the requirement that the deuteron binding energy and low energy phase shifts of $V_{NN}$ 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 $V_{\mathrm{low}-\mathrm{k}}$'s derived from the CD-Bonn and Nijmegen potentials are nearly identical. The pairing gaps and Landau parameters derived from $V_{\mathrm{low}-\mathrm{k}}$ are remarkably close to those given by the full-space $V_{NN}$. The $V_{\mathrm{low}-\mathrm{k}}$ 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.

16 pages including 4 Figures

References in corpus (5)

• Low momentum nucleon-nucleon potential and shell model effective interactions
• Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state
• Low momentum nucleon-nucleon potentials with half-on-shell T-matrix equivalence
• Nuclear Self-energy and Realistic Interactions
• Ground state of finite nuclei evaluated from realistic interactions

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