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arXiv · hep-ph/9704432

New Mass Relation for Meson 25-plet

L. Burakovsky·T. Goldman·L. P. Horwitz
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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 ~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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L. Burakovsky, T. Goldman, L. P. Horwitz. 1997-04-29. New Mass Relation for Meson 25-plet. https://doi.org/10.1088/0954-3899%2F24%2F4%2F009

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