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arXiv · 1003.4126

Separable form of low-momentum realistic NN interaction

P. Grygorov·E. N. E. van Dalen·J. Margueron·H. Müther
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Abstract

The low-momentum interaction $V_{\text{low-k}}$ derived from realistic models of the nucleon-nucleon interaction is presented in a separable form. This separable force is supported by a contact interaction in order to achieve the saturation properties of symmetric nuclear matter. Bulk properties of nuclear matter and finite nuclei are investigated for the separable form of $V_{\text{low-k}}$ and two different parameterizations of the contact term. The accuracy of the separable force in Hartree-Fock calculations with respect to the original interaction $V_{\text{low-k}}$ is discussed. For a cutoff parameter $Λ$ of 2 fm$^{-1}$ a representation by a rank 2 separable force yields a sufficient accuracy, while higher ranks are required for larger cut-off parameters. The resulting separable force is parameterized in a simple way to allow for an easy application in other nuclear structure calculations.

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P. Grygorov, E. N. E. van Dalen, J. Margueron, H. Müther. 2010-03-22. Separable form of low-momentum realistic NN interaction. https://doi.org/10.1103/physrevc.82.014315

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