New Mass Relation for Meson 25-plet

Details New Mass Relation for Meson 25-plet New Mass Relation for Meson 25-plet

1997-04-29

arxiv.org/abs/hep-ph/9704432v1

J.Phys.G24:771-778,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTeX

Scientific paper

10.1088/0954-3899/24/4/009

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(J^P)=1/2(2^{+}) should be assigned to the both B_J(5732) and B_{sJ}(5850) mesons discovered recently. We also discuss reasons for the failure of group theory to produce correct mass relations for heavy quarkonia.

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