TY - JOUR
T1 - New mass relations for heavy quarkonia
AU - Burakovsky, L.
AU - Goldman, T.
AU - Horwitz, L. P.
PY - 1997
Y1 - 1997
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0038836209&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.56.7119
DO - 10.1103/PhysRevD.56.7119
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AN - SCOPUS:0038836209
SN - 1550-7998
VL - 56
SP - 7119
EP - 7123
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 11
ER -