Nonrelativistic Strong-Coupling Model with a Recoiling Source

We have replaced the static extended source of traditional strong-coupling models with a point fermion of finite bare mass. We find self-consistent stationary-state solutions to the problem of the strongly coupled fermion and pion field in the neutral pseudoscalar theory. We find the usual set of rotational levels, $j=\frac{1}{2}, \frac{3}{2}, \frac{5}{2}, ·$, and, in addition, find a class of states which strongly suggest identification with the $N^{\prime }\mathrm{}\left(1470\right)\mathrm{}$ and its possible rotational excitations. Our model provides a natural interpretation of the repulsive hard-core potential in nuclear forces, and also contains the mechanisms which will lead to negative-parity nucleon resonances and Regge recurrences when internal symmetries are included. Because of several important approximations, our numerical results are not yet to be taken seriously.