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arXiv · hep-ph/9704440

New Mass Relations for Heavy Quarkonia

L. Burakovsky·T. Goldman·L. P. Horwitz
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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 $\sim 1$%, 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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L. Burakovsky, T. Goldman, L. P. Horwitz. 1997-04-29. New Mass Relations for Heavy Quarkonia. https://doi.org/10.1103/physrevd.56.7119

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