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Low Momentum Nucleon-Nucleon Interactions and Shell-Model Calculations

L. Coraggio·A. Covello·A. Gargano·N. Itaco·D. R. Entem·T. T. S. Kuo·R. Machleidt
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Abstract

In the last few years, the low-momentum nucleon-nucleon (NN) interaction V-low-k derived from free-space NN potentials has been successfully used in shell-model calculations. V-low-k is a smooth potential which preserves the deuteron binding energy as well as the half-on-shell T-matrix of the original NN potential up to a momentum cutoff Lambda. In this paper we put to the test a new low-momentum NN potential derived from chiral perturbation theory at next-to-next-to-next-to-leading order with a sharp low-momentum cutoff at 2.1 fm-1. Shell-model calculations for the oxygen isotopes using effective hamiltonians derived from both types of low-momentum potential are performed. We find that the two potentials show the same perturbative behavior and yield very similar results.

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L. Coraggio, A. Covello, A. Gargano, N. Itaco, D. R. Entem, T. T. S. Kuo, R. Machleidt. 2007-01-23. Low Momentum Nucleon-Nucleon Interactions and Shell-Model Calculations. https://doi.org/10.1103/physrevc.75.024311

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