Block Diagonalization using SRG Flow Equations

Abstract

By choosing appropriate generators for the Similarity Renormalization Group (SRG) flow equations, different patterns of decoupling in a Hamiltonian can be achieved. Sharp and smooth block-diagonal forms of phase-shift equivalent nucleon-nucleon potentials in momentum space are generated as examples and compared to analogous low-momentum interactions ("v_lowk").

4 pages, 9 figures (pdfLaTeX)

References in corpus (8)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Low-momentum interactions with smooth cutoffs
• Are low-energy nuclear observables sensitive to high-energy phase shifts?
• Flow Equations for Gluodynamics in the Coulomb Gauge

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• Scale dependence of deuteron electrodisintegration
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• Neutron matter based on consistently evolved chiral three-nucleon interactions
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• In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem
• Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
• Symmetries of the Similarity Renormalization Group for Nuclear Forces
• Similarity Renormalization Group Evolution of Three-Nucleon Forces in a Hyperspherical Momentum Representation
• Error analysis of nuclear forces and effective interactions
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• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Multiresolution decomposition of quantum field theories using wavelet bases
• Fixed points of the Similarity Renormalization Group and the Nuclear Many-Body Problem
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• Universality in Similarity Renormalization Group Evolved Potential Matrix Elements and T-Matrix Equivalence
• Alternative similarity renormalization group generators in nuclear structure calculations
• Estimates and power counting in uniform matter with softened interactions
• Implicit and explicit renormalization: two complementary views of effective interactions
• Renormalization group evolution of optical potentials: explorations using a toy model
• The BCS pairing gap in the on-shell limit of the Similarity Renormalization Group
• Nuclei and chiral dynamics
• Fixed points of the SRG evolution and the on-shell limit of the nuclear force