Are low-energy nuclear observables sensitive to high-energy phase shifts?

Abstract

Conventional nucleon-nucleon potentials with strong short-range repulsion require contributions from high-momentum wave function components even for low-energy observables such as the deuteron binding energy. This can lead to the misconception that reproducing high-energy phase shifts is important for such observables. Interactions derived via the similarity renormalization group decouple high-energy and low-energy physics while preserving the phase shifts from the starting potential. They are used to show that high-momentum components (and high-energy phase shifts) can be set to zero when using low-momentum interactions, without losing information relevant for low-energy observables.

arXiv comment13 pages, 5 figures; reference and acknowledgment added

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• P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
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• Density Matrix Expansion for Low-Momentum Interactions
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• The impact of bound states on similarity renormalization group transformations
• Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
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• Eft for DFT
• The Similarity Renormalization Group with Novel Generators
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• Similarity Renormalization Group for Few-Body Systems
• Induced three-neutron interactions with low cutoffs for dilute neutron matter
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