New Quadratic Mass Relations for Heavy Mesons

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

New Quadratic Mass Relations for Heavy Mesons

Authors

Burakovsky, L.

Horwitz, L. P.

Goldman, T.

Description

By assuming the existence of (quasi)-linear Regge trajectories for heavy mesons, we derive new quadratic mass relations of non-Gell-Mann-Okubo type, 6M^2(q-qbar)+3M^2(c-cbar)=8M^2(c-qbar), 20M^2(q-qbar)+5M^2(b-bbar)= 16M^2(b-qbar), q=n(=u,d),s, which show excellent agreement with experiment. We also establish the sum rule M^2(i-ibar)+M^2(j-jbar)-2M^2(j-ibar)\approx const for any pair of flavors, (i,j).
17 pages, LaTeX