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An exact treatment of the operators Q/e(\omega) and the total momentum isadopted to solve the nuclear matter Bruecker-Bethe-Goldstone equation with two-and three-body forces. The single-particle potential, equation of state andnucleon effective mass are calculated from the exact G-matrix. The results arecompared with those obtained under the angle-average approximation and theangle-average approximation with total momentum approximation. It is found thatthe angle-average procedure, whereas preventing huge calculations of coupledchannels, nevertheless provides a fairly accurate approximation. On thecontrary, the total momentum approximation turns out to be quite inaccuratecompared to its exact counterpart.

Exact solution of the Brueckner-Bethe-Goldstone equation with three-body forces in nuclear matter