Model Calculation of Effective Three-Body Forces

Abstract

We propose a scheme for extracting an effective three-body interaction originating from a two-nucleon interaction. This is based on the Q-box method of Kuo and collaborators, where folded diagrams are obtained by differentiating a sum of non-folded 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.

9 pages, Revtex4, 7 figs, submitted to PRC

References in corpus (13)

• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Realistic models of pion-exchange three-nucleon interactions
• New effective interaction for $pf$-shell nuclei and its implications for the stability of the $N$=$Z$=28 closed core
• Quantum Monte Carlo calculations of $A=9,10$ nuclei
• Evolution of Nuclear Spectra with Nuclear Forces
• Ab initio shell model with a genuine three-nucleon force for the p-shell nuclei
• Coupled cluster calculations of ground and excited states of nuclei
• Three-body monopole corrections to the realistic interactions
• Effective interactions and the nuclear shell-model
• Effective interactions and shell model studies of heavy tin isotopes
• Shell model studies of the proton drip line nucleus ${}^{106}$Sb
• Iterative Solution for Effective Interactions in a System with Non-degenerate Unperturbed Energies
• Effective Operator Treatment of the Lipkin Model

Cited by in corpus (5)

• Shell-model calculations and realistic effective interactions
• Supersymmetry and Dark Matter in Light of LHC 2010 and Xenon100 Data
• Coupled-cluster calculations for valence systems around O-16
• Low Momentum Nucleon-Nucleon Interactions and Shell-Model Calculations
• Realistic shell-model calculations: current status and open problems