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Normal-ordering app...
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Djärv, Tor,1991Chalmers tekniska högskola,Chalmers University of Technology
(author)
Normal-ordering approximations and translational (non)invariance
- Article/chapterEnglish2021
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2021
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electronicrdacarrier
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LIBRIS-ID:oai:research.chalmers.se:75b3c91d-0f55-4c55-ba90-cd66f228d5a8
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https://research.chalmers.se/publication/525797URI
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https://doi.org/10.1103/PhysRevC.104.024324DOI
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Language:English
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Summary in:English
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Subject category:art swepub-publicationtype
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Subject category:ref swepub-contenttype
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Normal ordering provides an approach to approximate three-body forces as effective two-body operators and it is therefore an important tool in many-body calculations with realistic nuclear interactions. The corresponding neglect of certain three-body terms in the normal-ordered Hamiltonian is known to influence translational invariance, although the magnitude of this effect has not yet been systematically quantified. In this paper we study in particular the normal-ordering two-body approximation applied to a single harmonic-oscillator reference state. We explicate the breaking of translational invariance and demonstrate the magnitude of the approximation error as a function of model space parameters for He-4 and O-16 by performing full no-core shell-model calculations with and without three-nucleon forces. We combine two different diagnostics to better monitor the breaking of translational invariance. While the center-of-mass effect is shown to become potentially very large for He-4, it is also shown to be much smaller for O-16 although full convergence is not reached. These tools can be easily implemented in studies using other many-body frameworks and bases.
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Ekström, Andreas,1980Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)andeks
(author)
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Forssén, Christian,1974Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)f2bcf
(author)
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Jansen, G. R.Oak Ridge National Laboratory
(author)
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Chalmers tekniska högskolaOak Ridge National Laboratory
(creator_code:org_t)
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In:Physical Review C104:22469-99852469-9993
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