Similarity Renormalization Group for Nucleon-Nucleon Interactions

Abstract

The similarity renormalization group (SRG) is based on unitary transformations that suppress off-diagonal matrix elements, forcing the hamiltonian towards a band-diagonal form. A simple SRG transformation applied to nucleon-nucleon interactions leads to greatly improved convergence properties while preserving observables, and provides a method to consistently evolve many-body potentials and other operators.

5 pages, 6 figures (8 figure files); references updated and acknowledgment added

References in corpus (4)

• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• Low-momentum interactions with smooth cutoffs
• The Unitary Correlation Operator Method from a Similarity Renormalization Group Perspective
• Are low-energy nuclear observables sensitive to high-energy phase shifts?

Cited by in corpus (21)

• Recent developments in no-core shell-model calculations
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• Unitary Correlation Operator Method and Similarity Renormalization Group: Connections and Differences
• Ab-initio computation of neutron-rich oxygen isotopes
• Block Diagonalization using SRG Flow Equations
• Neutron Structure Functions
• Effective-interaction approach to the many-boson problem
• A new calculation for D(e,e'p)n at GeV energies
• Decoupling in the Similarity Renormalization Group for Nucleon-Nucleon Forces
• Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations
• Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
• The impact of bound states on similarity renormalization group transformations
• Weinberg Eigenvalues and Pairing with Low-Momentum Potentials
• Three-Body Forces Produced by a Similarity Renormalization Group Transformation in a Simple Model
• Low-momentum interactions in three- and four-nucleon scattering
• Shell-model study of mirror nuclei with modern charge-dependent \textit{NN} potential
• Ab initio coupled-cluster and configuration interaction calculations for 16-O using V_UCOM
• Progress and challenges in the theory of nuclei
• Similarity Renormalization Group for Few-Body Systems