In this work we suggest a possible origin of the σ-meson in nuclear systems in terms of the bare Nucleon-Nucleon interaction. Starting from an effective interaction determined by a G-matrix calculation, we show that the intermediate range of this effective interaction can be described to a good approximation by an exchange of scalar mesons, whose fitted masses and coupling constants are in good agreement with the values of standard relativistic mean field parametrization.
Serra, M., Otsuka, T., Akaishi, Y., Ring, P., & Hirose, S. (2003). Field theoretical description of exchange terms in nuclear systems. Nuclear Physics A, 722, C502–C506. https://doi.org/10.1016/S0375-9474(03)01416-7