Three hole-line contribution in nuclear matter revisited

The three-hole line contribution to the Equation of State of symmetric nuclear matter is calculated by solving the Bethe-Fadeev equations within the standard choice for the single particle auxiliary potential. The results, given up to the Fermi momentum kF = 1.8 fm−1, show satisfactory agreement with the only previous calculation, performed by Day. The corresponding Brueckner-Hartree-Fock calculation, within the continuous choice for the single particle potential, appears to be very close to the full Equation of State which includes also an estimate of the four-hole line contribution.