Calculation of nuclear matter binding energy with the exact Pauli exclusion operator

Exact expressions of the Pauli exclusion operator Q in the nuclear matter calculation are presented. Exact formulae are given for the calculations of the single-particle-potential energy and the binding energy per nucleon with the exact Q operator. Numerical calculations of the G matrix in the lowest-order Brueckner theory are carried out to check the reliability of the standard angle-average approximation for the Q operator by employing the Bonn NN potential. It is observed that the exact treatment of the operator Q brings about non-negligible and attractive contributions to the binding energy.