Is there evidence of three-body forces from violation of the Koltun energy sum rule?

Amand Faessler; S. Krewald; G. J. Wagner

doi:10.1103/PhysRevC.11.2069

Is there evidence of three-body forces from violation of the Koltun energy sum rule?

Amand Faessler, S. Krewald, and G. J. Wagner

Phys. Rev. C 11, 2069 – Published 1 June 1975

Abstract

The suggested failure of the model independent energy sum rule of Koltun in a recent ( $e, e^{'} p$ ) experiment is studied in light of current Hartree-Fock theory. It is shown that the use of (i) density dependent forces or (ii) partial occupation probabilities compensates for the restricted momentum and energy range of the experimental proton spectral function, and can explain the sum rule violation.

NUCLEAR STRUCTURE Correction to Koltun's energy sum rule calculated for ${}^{12}C$ , ${}^{28}{Si}$ , ${}^{40}{Ca}$ , and ${}^{58}{Ni}$ using effective density dependent or three-body forces.