New mass relations for heavy quarkonia

L. Burakovsky, T. Goldman, L. P. Horwitz

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


By assuming the existence of (quasi)linear Regge trajectories for heavy quarkonia in the low energy region, we derive a new meson mass relation which shows good agreement with experiment for both charmed and [Formula presented]-flavored mesons. We show that for this relation to avoid depending on the values of the Regge slopes of these (quasi)linear trajectories, it must be of sixth power in meson masses. It may be reduced to a quadratic Gell-Mann–Okubo-type formula by fitting the values of the slopes. For charmed mesons, such a formula holds with an accuracy of [Formula presented] 1%, and is in qualitative agreement with the relation obtained previously by the application of the linear mass spectrum to an SU(4) meson multiplet.

Original languageEnglish
Pages (from-to)7119-7123
Number of pages5
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number11
StatePublished - 1997
Externally publishedYes


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