μ-Pair Theories and theπ-Meson

The $\mu$-pair theory suggests the interpretation of the $\pi$-meson as a pair of $\mu \text{'}\mathrm{s}$ bound together by a nucleon pair field. Only a non-relativistic description, involving a cut-off in the momentum spaces, is attempted. Various $\pi$-meson types, such as are well known from the conventional Yukawa theories, can be constructed, depending on the type of coupling adopted in the interaction Hamiltonian of the pair theory. It appears, however, that only the pseudoscalar coupling, which leads to a pseudoscalar $\pi$-meson, is consistent with the experimental data; e.g., on the nuclear scattering of $\mu \text{'}\mathrm{s}$, which indicate that the interaction of $\mu \text{'}\mathrm{s}$ with nucleons, at least in such processes, is rather weak. Then, also, the creation of $\mu$-pairs in high energy nuclear collisions is expected to be an infrequent event, compared to the $\pi$-creation. Nonetheless, the $\mu$-pair production should furnish a crucial experimental test. Another process predicted is the dissociation of a fast $\pi$-meson, passing through matter, into a pair. The existence of heavier mesons, involving more than two $\mu \text{'}\mathrm{s}$, seems likely.