A realistic theory of mesons

Conclusion

To summarize this paper, we have shown that, with the use of regularisation and a certain way of ordering and summing the matrix elements, the Fermi coupling can be completely treated. The main result is the interpretation of the method in terms of new particle concepts. Then we derive from the existence of Fermi coupling between fermion pairs the properties of boson mesons through which the Fermi interactions must occur. The extension of this method and of the physical interpretation can be made, and one reaches the conclusion that every meson, boson or fermion, can be built from the smallest number of fundamental particles (electron, neutrino, proton, and perhaps neutron), requiring no essentially new principle, or new methods. However, the use of regularization, introducing in the theory arbitrary constants to be determined by experiment need to be improved. It is in research on the law of the regularization constants (whose qualitative form is given) and in its further interpretation that one can make progress. Most of the problems underlined in Sect. 6 require further works. We shall treat in our next publications more precise examples of the applications of this theory:

• -The PS theory (structure of mesons. bosons and fermions. charge symmetry and independence of nuclear interactions).

• -The electromagnetic properties of mesons (charge and photo-decays)

• -The V, PV, T interactions (allowed meson coupling forms, gauge invariances).