Derivation of interaction potentials of fundamental forces

Since this is a log-log plot the straight lines (Coulomb, gravitation, strong inside $10^{-15}$ m) are the long range power laws ($1/r$) resulting from exchange of massless bosons (photon, gluon, graviton). I'm not sure what units are being used for the vertical (potential) axis but it is probably eV or MeV (hard to tell on a log-log plot). For the weak force I'm sure they are just using a Yukawa function ($e^{-mr}/r$) where m is the mass of the weak vector bosons (W,Z). For the strong force outside the quark confinement radius they are probably using the same with m chosen to be the mass of the pion.