Some Possible Relationships betweenπ-Meson Nucleon Scattering andπ-Meson Production in Nucleon-Nucleon Collisions

For a reaction such as $p+p\to {\pi }^{+}+n+p$, it is known that the interaction of the emitted neutron and proton will frequently result in the formation of a deuteron. An analogous effect is that of the interaction of the $\pi$ meson with either the neutron or the proton. This interaction is known to be strong from studies of meson-nucleon scattering. Explicit calculations are made, which indicate that pronounced qualitative effects may indeed result from the meson-nucleon interaction. In particular, the $p+p\to {\pi }^{+}$ cross section is expected to be considerably larger than is the $n+p\to {\pi }^{+}$ cross section.