The Unitary Correlation Operator Method from a Similarity Renormalization Group Perspective

Abstract

We investigate how the Unitary Correlation Operator Method (UCOM), developed to explicitly describe the strong short-range central and tensor correlations present in the nuclear many-body system, relates to the Similarity Renormalization Group (SRG), a method to band-diagonalize Hamiltonians by continuous unitary transformations. We demonstrate how the structure of the UCOM transformation, originally motivated from the physically intuitive picture of correlations in coordinate space, arises naturally from the SRG flow equation. Apart from formal considerations we show that the momentum space matrix elements of the effective interactions obtained in both schemes agree extremely well.

5 pages, 2 figures, using REVTEX4; v2: references added

References in corpus (8)

• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Tensor correlations in the Unitary Correlation Operator Method
• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• Nuclear Structure based on Correlated Realistic Nucleon-Nucleon Potentials
• Hartree-Fock and Many-Body Perturbation Theory with Correlated Realistic NN-Interactions
• Collective multipole excitations based on correlated realistic nucleon-nucleon interactions
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• Unitary Correlation Operator Method and Similarity Renormalization Group: Connections and Differences
• Universality of short-range nucleon-nucleon correlations
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• Pade-resummed high-order perturbation theory for nuclear structure calculations
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• A Predictive Theory for Elastic Scattering and Recoil of Protons from ${}^4$He
• A new calculation for D(e,e'p)n at GeV energies
• Ab Initio study of neutron drops with chiral Hamiltonians
• The Renormalization Group in Nuclear Physics
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• Ab initio calculations of reactions with light nuclei
• Many-body fits of phase-equivalent effective interactions
• Progress on Light-Ion Fusion Reactions with Three-Nucleon Forces