Low Momentum Nucleon-Nucleon Interactions and Shell-Model Calculations

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.

8 pages, 8 figures, to be published in Physical Review C

References in corpus (29)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Construction of high-quality Nucleon-Nucleon potential models
• A New Expansion for Nucleon-Nucleon Interactions
• The two-nucleon system at next-to-next-to-next-to-leading order
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
• Effective Field Theory of Nuclear Forces
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Is nuclear matter perturbative with low-momentum interactions?
• Chiral 2pi exchange at order four and peripheral NN scattering
• Three-body monopole corrections to the realistic interactions
• Low momentum nucleon-nucleon potentials with half-on-shell T-matrix equivalence
• Ground-state properties of closed-shell nuclei with low-momentum realistic interactions
• Beyond the Shell Model: The Canonical Nuclear Many-Body Problem as an Effective Theory
• The structure of nuclear systems derived from low momentum nucleon-nucleon potentials
• Nuclear Structure Calculations and Modern Nucleon-Nucleon Potentials
• Towards a consistent approach to nuclear structure: EFT of two- and many-body forces
• Realistic shell-model calculations for proton particle-neutron hole nuclei around 132Sn
• Pairing in nuclear systems with effective Gogny and V_low-k interactions
• Shell-model Structure of Exotic 135Sb
• Microscopic Nuclear Structure Based upon a Chiral NN Potential
• Proton-neutron multiplets in exotic 134Sb: testing the shell-model effective interaction
• Self-Consistent Nuclear Shell-Model Calculation Starting from a Realistic NN Potential
• Nuclear Structure Calculations with Low-Momentum Potentials in a Model Space Truncation Approach
• Structure of particle-hole nuclei around 100Sn
• Model Calculation of Effective Three-Body Forces

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