New conservation laws in strong interactions in the framework of ladder $U(6,6)$-symmetry

A class of strong interactions is studied for which $K$ mesons participate in all the reactions and decays. It is shown that in such processes the usual conservation laws are augmented by a further two; namely, $\mathbf N^2$ and $(\mathbf S+\mathbf I)^2$, where $\mathbf N$ is the normal spin, $\mathbf S$ is the strangeness spin and $\mathbf I$ is the orbital angular momentum, are conserved. The investigation is made by means of the classification scheme for hadrons proposed by the same authors in other papers. In addition, on the basis of this scheme an additional parity, which is conserved in all strong interactions, is introduced.