Decoupling in the Similarity Renormalization Group for Nucleon-Nucleon Forces

Abstract

Decoupling via the Similarity Renormalization Group (SRG) of low-energy nuclear physics from high-energy details of the nucleon-nucleon interaction is examined for two-body observables and few-body binding energies. The universal nature of this decoupling is illustrated and errors from suppressing high-momentum modes above the decoupling scale are shown to be perturbatively small.

13 pages, 14 figures

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Cited by in corpus (25)

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• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - I. Formalism at second order with a two-nucleon interaction
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• A driven similarity renormalization group approach to quantum many-body problems
• Converged ab initio calculations of heavy nuclei
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• New applications of renormalization group methods in nuclear physics
• P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
• Towards grounding nuclear physics in QCD
• Operator Evolution via the Similarity Renormalization Group I: The Deuteron
• High-momentum tails from low-momentum effective theories
• The Renormalization Group in Nuclear Physics
• Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
• Similarity Renormalization Group Evolution of Three-Nucleon Forces in a Hyperspherical Momentum Representation
• The renormalisation group and nuclear forces
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Sensitivity of (d,p) reactions to high n-p momenta and the consequences for nuclear spectroscopy studies
• The Similarity Renormalization Group with Novel Generators
• Decoupling of Spurious Deep Bound States with the Similarity Renormalization Group
• Universality in Similarity Renormalization Group Evolved Potential Matrix Elements and T-Matrix Equivalence
• Nuclear Physics without High-Momentum Potentials: Constructing the Nuclear Effective Interaction Directly from Scattering Observables
• Discovery vs. Precision in Nuclear Physics- A Tale of Three Scales
• Renormalization group evolution of optical potentials: explorations using a toy model
• Perturbative correction to the adiabatic approximation for $(d,p)$ reactions