Higher-order terms and the apparent non-convergence of the perturbation expansion for the effective interaction in finite nuclei

摘要: Abstract We have calculated all significant terms through third order in the reaction matrix G which contribute to perturbation series for J = 0, T 1 effective interaction between two valence nucleons mass-18 nuclei and also a few selected fourth-order terms. shown that does not converge order-by-order certain large third-order tend cancel second-order contribution. An intuitive physical picture of process giving rise this effect analogous effects related calculations charge is given. This suggests rearrangement into physically groups diagrams, so each group converges . However, one must then find some way sum these diagrams. conclude simple theory reliable method calculating two-nucleon nuclei, when currently standard calculational techniques are used, success first- plus fitting experimental spectra unexplained.