Radiative Corrections to Nuclear Forces in the Pseudoscalar Meson Theory

The fourth-order corrections to nuclear forces in the charged and symmetrical pseudoscalar meson theories are obtained by the Feynman-Dyson method. All infinite parts are reconciled in terms of renormalization of mesonic and nucleonic mass and charge. The potentials obtained by a non-relativistic approximation yield ordinary spin independent forces which behave as $\frac{1}{r^3}$ in the non-relativistic region. This singularity is reduced to $\frac{1}{r}$ by relativistic effects. The potentials are in disagreement with experiment but the neutron-proton scattering problem is treated in order to obtain insight into the nature of relativistic corrections at 90 Mev, and it is shown that they are not small.