J. Noga et W. Kutzelnigg, COUPLED-CLUSTER THEORY THAT TAKES CARE OF THE CORRELATION CUSP BY INCLUSION OF LINEAR TERMS IN THE INTERELECTRONIC COORDINATES, The Journal of chemical physics, 101(9), 1994, pp. 7738-7762
CC-R12-a combination of coupled cluster theory and the R12 method, is
presented in which the correlation cusp is treated via inclusion of te
rms explicitly dependent on the interelectronic distance r(ij) into th
e exponential expansion of the wave function. A diagrammatic derivatio
n of the CC-R12 equations within the so-called ''standard approximatio
n B'' is given at the level of singles, doubles and triples (CCSDT-R12
). MBPT(4)-R12 is derived as a byproduct of CCSDT-R12. Fifth order non
iterative corrections are also discussed.