New Mass Relations for Heavy Quarkonia
L. Burakovsky, T. Goldman, L. P. Horwitz
Abstract
By assuming the existence of (quasi)-linear Regge trajectories for heavy quarkonia in the low energy region, we derive a new, sixth power, meson mass relation which shows good agreement with experiment for both charmed and beauty mesons. 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. For charmed mesons, such a formula holds with an accuracy of 1%, and is in qualitative agreement with the relation obtained previously by the application of the linear spectrum to a meson hexadecuplet.
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