Unitary Correlation Operator Method and Similarity Renormalization Group: Connections and Differences

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dc.creatorRoth, R.
dc.creatorReinhardt, S.
dc.creatorHergert, H.
dc.date2008-02-28
dc.date2008-06-30
dc.date.accessioned2026-07-07T11:48:46Z
dc.date.available2026-07-07T11:48:46Z
dc.descriptionWe 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 208-Pb. Both interactions exhibit very similar convergence properties in light nuclei but show a different systematic behavior as function of particle number.
dc.description13 pages, 11 figures; v2: minor changes following referees' comments
dc.identifierhttps://arxiv.org/abs/0802.4239
dc.identifierhttp://arxiv.org/abs/0802.4239
dc.identifierPhys.Rev.C77:064003,2008
dc.identifierdoi:10.1103/PhysRevC.77.064003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202993
dc.subjectNuclear Theory
dc.titleUnitary Correlation Operator Method and Similarity Renormalization Group: Connections and Differences
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