Local Projections of Low-Momentum Potentials

Abstract

Nuclear interactions evolved via renormalization group methods to lower resolution become increasingly non-local (off-diagonal in coordinate space) as they are softened. This inhibits both the development of intuition about the interactions and their use with some methods for solving the quantum many-body problem. By applying "local projections", a softened interaction can be reduced to a local effective interaction plus a non-local residual interaction. At the two-body level, a local projection after similarity renormalization group (SRG) evolution manifests the elimination of short-range repulsive cores and the flow toward universal low-momentum interactions. The SRG residual interaction is found to be relatively weak at low energy, which motivates a perturbative treatment.

References in corpus (12)

• Improved nuclear matter calculations from chiral low-momentum interactions
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Recent observation of short range nucleon correlations in nuclei and their implications for the structure of nuclei and neutron stars
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Convergence of the Born Series with Low-Momentum Interactions
• Quasiparticle Random Phase Approximation with Interactions from the Similarity Renormalization Group
• The impact of bound states on similarity renormalization group transformations
• Weinberg Eigenvalues and Pairing with Low-Momentum Potentials
• Decoupling of Spurious Deep Bound States with the Similarity Renormalization Group
• Monte Carlo approach to nuclei and nuclear matter

Cited by in corpus (10)

• Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
• New applications of renormalization group methods in nuclear physics
• The Renormalization Group in Nuclear Physics
• Similarity Renormalization Group Evolution of Three-Nucleon Forces in a Hyperspherical Momentum Representation
• Coarse graining of NN inelastic interactions up to 3 GeV:Repulsive vs Structural core
• An Exact Integral-to-Sum Relation for Products of Bessel Functions
• Energy-independent complex single $P$-waves $NN$ potential from Marchenko equation
• Three-Nucleon Forces
• From nucleon-nucleon interaction matrix elements in momentum space to an operator representation
• Nucleon-nucleon potentials in phase-space representation