We obtain the RPA summed one-meson exchange potential between nucleons in symmetric nuclear matter at zero temperature, from a model which includes rho, sigma, omega and pi mesons. The behavior of rho mesons inside the medium is first discussed using different schemes to extract a finite contribution from the vacuum polarization. These schemes give qualitatively different results for the in-medium rho mass. The results are discussed in connection with the nourenormalizability of the model. We next study the modified potential as density increases. In the intermediate-distance range, it is qualitatively modified by matter and vacuum effects. In the long-distance range (r > 2 fm), one observes the presence of oscillations, which are not present in free space. Features on this distance range arc insensitive to the renormalization scheme.
Mornas, L. Gallego, E. Pérez Cañellas, Armando 2002 Nucleon-nucleon effective potential in dense matter including rho-meson exchange Nuclear Physics A 699 3-4 579 623
