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 ∼2% for vector mesons, and also suggests that the quantum number I(JP) = 1/2(2+) should be assigned to both the BJ(5732) and BSJ(5850) mesons discovered recently. We also discuss reasons for the failure of group theory to produce correct mass relations for heavy quarkonia.
|Number of pages||8|
|Journal||Journal of Physics G: Nuclear and Particle Physics|
|State||Published - Apr 1998|