Low-momentum interactions for nuclei

Abstract

We show how the renormalization group is used to construct a low-momentum nucleon-nucleon interaction V_{low k}, which unifies all potential models used in nuclear structure calculations. V_{low k} can be directly applied to the nuclear shell model or to nucleonic matter without a G matrix resummation. It is argued that V_{low k} parameterizes a high-order chiral effective field theory two-nucleon force. We use cutoff dependence as a tool to assess the error in the truncation of nuclear forces to two-nucleon interactions and introduce a low-momentum three-nucleon force, which regulates A=3,4 binding energies. The adjusted three-nucleon interaction is perturbative for small cutoffs. In contrast to other precision interactions, the error due to missing many-body forces can be estimated, when V_{low k} and the corresponding three-nucleon force are used in nuclear structure calculations and the cutoff is varied.

10 pages, 5 figures, talk at INT workshop on Nuclear Forces and the Quantum Many-Body Problem, Seattle, October 2004

References in corpus (3)

• Einstein-Aether Waves
• Low-momentum interaction in few-nucleon systems
• Low-momentum nucleon-nucleon interaction and its application to the few-nucleon systems

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• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Shell-model calculations and realistic effective interactions
• Coupled-cluster theory for three-body Hamiltonians
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• Helium halo nuclei from low-momentum interactions
• The Form of the Effective Interaction in Harmonic-Oscillator-Based Effective Theory