2004/11/08 by P. J. Ellis, P.J. Ellis, T. Engeland +5 · 1 citation
Mathematics · Physics and Astronomy · #Applied mathematics #Eigenvalues and eigenvectors #Energy (signal processing) #Materials science #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Nuclear physics research studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quantum, superfluid, helium dynamics #Scheme (mathematics) #Statistical physics #nucl-th
paper · pdf · doi:10.1103/physrevc.71.034301
published as Phys.Rev. C71 (2005) 034301 · 9 pages, Revtex4, 7 figs, submitted to PRC
arxiv created 2004/11/08 · openalex publication_date 2005/03/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a scheme for extracting an effective three-body interaction originating from a two-nucleon interaction. This is based on the \stackrel\ensuremath\wedgeQ-box method of Kuo and collaborators, where folded diagrams are obtained by differentiating a sum of nonfolded diagrams with respect to the starting energy. To gain insight we have studied several examples using the Lipkin model where the perturbative approach can be compared with exact results. Numerically the three-body interactions can be significant and in a matrix example good accuracy was not obtained simultaneously for both eigenvalues with two-body interactions alone.