New relation between mesons and baryons

A new S${\mathrm{U}}_{12}$ classification scheme for mesons and baryons is used in conjunction with a simple quark model and results in a striking correlation between the masses of the diquark subsystems in baryons and the masses of several known mesons. The new classification provides a simple scheme which involves a basic 36 multiplet for the pseudoscalar and vector mesons and a 112 multiplet for the baryons and antibaryons. The 36 multiplet of S${\mathrm{U}}_{12}$ does not treat the ${\eta }^{\prime }$ as a singlet as in the conventional S${\mathrm{U}}_6$ scheme. The new scheme also has the advantages of providing a simple algebraic form of Zweig's rule for the decay of strange-quark-antiquark pairs. Absolute values of the magnetic moments of baryons are accurately reproduced and are found to be consistent with a model in which the effective quark masses are 338 MeV (nonstrange) and 465 MeV (strange).