Atomic Bethe-Goldstone Equations. III. Correlation Energies of Ground States of Be, B, C, N, O, F, and Ne

A variational formulation of Brueckner's theory has been used to solve Bethe-Goldstone equations and to compute electronic pair-correlation energies for the atoms listed in the title. One-electron effective correlation energies, needed for open-shell atomic states, are also computed. An approximate Hartree-Fock function is used for the reference state in each case. Individual pair-correlation energies are computed to an expected accuracy of 0. 001 Hartree a. u. The total correlation energies range from 98. 5 to 100. 3% of the empirical correlation energy. For comparison with many-particle perturbation theory, definitions of the hierarchy of nth-order Bethe-Goldstone equations and of the concepts of gross and net mean-value increments used in this work are restated in terms of linked Goldstone diagrams.