New mass relation for meson 25-plet

Abstract

By assuming the existence of (quasi)-linear Regge trajectories for 25-plet mesons in the low-energy region, we derive a new, 14th power, meson mass relation. This relation may be reduced to a quadratic Gell-Mann-Okubo-type formula by fitting the values of the Regge slopes of these (quasi)-linear trajectories. Such a formula holds with an accuracy of % for vector mesons, and also suggests that the quantum number should be assigned to both the and mesons discovered recently. We also discuss reasons for the failure of group theory to produce correct mass relations for heavy quarkonia.