Unitary correlation operator method and similarity renormalization group: Connections and differences

Journal Article · Sun Jun 15 04:00:00 EDT 2008 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.77.064003· OSTI ID:21191926

Roth, R; Reinhardt, S; Hergert, H ^[1]

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1. Institut fuer Kernphysik, Technische Universitaet Darmstadt, D-64289 Darmstadt (Germany)

We discuss relations and differences between two methods for the construction of unitarily transformed effective interactions, the Similarity Renormalization Group (SRG) and Unitary Correlation Operator Method (UCOM). The aim of both methods is to construct a soft phase-shift equivalent effective interaction which is well suited for many-body calculations in limited model spaces. After contrasting the two conceptual frameworks, we establish a formal connection between the initial SRG-generator and the static generators of the UCOM transformation. Furthermore we propose a mapping procedure to extract UCOM correlation functions from the SRG evolution. We compare the effective interactions resulting from the UCOM-transformation and the SRG-evolution on the level of matrix elements, in no-core shell model calculations of light nuclei, and in Hartree-Fock calculations up to {sup 208}Pb. Both interactions exhibit very similar convergence properties in light nuclei but show a different systematic behavior as function of particle number.

• OSTI ID: 21191926
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 77; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COMPARATIVE EVALUATIONS
CONSTRUCTION
CONVERGENCE
CORRELATION FUNCTIONS
CORRELATIONS
HARTREE-FOCK METHOD
INTERACTIONS
LEAD 208
LIGHT NUCLEI
MANY-BODY PROBLEM
MATRIX ELEMENTS
PARTICLES
PHASE SHIFT
RENORMALIZATION
SHELL MODELS