The baryon ladder of the U(6,6)-symmetry

An unified classification of the Baryons is made with the help of the so-called Baryon ladder of U(6,6). For this reason a complete set of commuting operators (introduced in a previous paper), including the squares of the spin and the isotopic spin, their third projections, the hypercharge, the Baryon number and so on, is used. Multiplets of a nontraditional type are obtained, which are in good agreement with the experimental situation. A Baryon mass operator is introduced; it is diagonal in the particles. With its help series of mass formulas are obtained for Baryons with spin-parity $\text{(}\text{1}\text{2}\text{)}{}^{\mathrm{+}}$, $\text{(}\text{3}\text{2}\text{)}{}^{\mathrm{+}}$, $\text{(}\text{1}\text{2}\text{)}{}^{\mathrm{?}}$, $\text{(}\text{3}\text{2}\text{)}{}^{\mathrm{?}}$, $\text{(}\text{5}\text{2}\text{)}{}^{\mathrm{?}}$ and they are in a very good agreement with the experiment.