The Electron-Neutron Interaction as Deduced from Pseudoscalar Meson Theory

Pseudoscalar meson theory with pseudoscalar coupling is used to find a value for the electron-neutron interaction. By means of the Feynman-Dyson-Wick techniques, the one-neutron matrix elements of the $S$ matrix are calculated in the usual weak coupling perturbation theory, carried to second order in the meson-nucleon coupling. Expressions for the magnetic moment and the electron-neutron interaction are deduced from this. By using the former to fix the coupling constant, it is found that the potential well representing the latter has a depth of 5380 ev if, as is conventional, this is taken to be square, with a radius of $\frac{e^2}{m{c}^2}$. The various results found by previous authors and their relation to the present work are discussed.