Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model

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dc.creatorJurgenson, E. D.
dc.creatorFurnstahl, R. J.
dc.date2008-09-24
dc.date2008-10-09
dc.date.accessioned2026-07-07T12:40:19Z
dc.date.available2026-07-07T12:40:19Z
dc.descriptionA one-dimensional system of bosons with short-range repulsion and mid-range attraction is used as a laboratory to explore the evolution of many-body forces by the Similarity Renormalization Group (SRG). The free-space SRG is implemented for few-body systems in a symmetrized harmonic oscillator basis using a recursive construction analogous to no-core shell model implementations. This approach, which can be directly generalized to three-dimensional nuclei, is fully unitary up to induced A-body forces when applied with an A-particle basis (e.g., A-body bound-state energies are exactly preserved). The oscillator matrix elements for a given A can then be used in larger systems. Errors from omitted induced many-body forces show a hierarchy of decreasing contribution to binding energies. An analysis of individual contributions to the growth of many-body forces demonstrates such a hierarchy and provides an understanding of its origins.
dc.description23 pages, 11 figures, Changed section on analysis of three-body running
dc.identifierhttps://arxiv.org/abs/0809.4199
dc.identifierhttp://arxiv.org/abs/0809.4199
dc.identifierNucl.Phys.A818:152-173,2009
dc.identifierdoi:10.1016/j.nuclphysa.2008.12.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219408
dc.subjectNuclear Theory
dc.titleSimilarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
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