Ring diagram nuclear matter calculations using Bonn andV14potentials

We calculate the particle-particle and hole-hole ring diagrams of nuclear matter to all orders using the Bonn and $V_{14}$ nucleon-nucleon potentials. Comparing with the results obtained from the lowest-order Brueckner-Hartree-Fock calculations of nuclear matter, these ring diagrams have the effect of both increasing the binding energy per nucleon (BE/A) and decreasing the saturation momentum ($k_F$). Our calculated values for BE/A in MeV and $k_F$ in ${\mathrm{fm}}^{\mathrm{-}1}$ for the $V_{14}$ potential are (16.8, 1.45), and for the Bonn potential (17.5, 1.57). The effect of the ring diagrams is found to be more important for the $V_{14}$ potential than for the Bonn potential. The choice of the model space and the resulting single-particle potential for particles above the Fermi sea are discussed.