New Mass Relations for Heavy Quarkonia

Details New Mass Relations for Heavy Quarkonia New Mass Relations for Heavy Quarkonia

1997-04-29

arxiv.org/abs/hep-ph/9704440v1

Phys.Rev.D56:7119-7123,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, LaTeX

Scientific paper

10.1103/PhysRevD.56.7119

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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