Radial and orbital Regge trajectories in heavy quarkonia
Abstract
The spectra of heavy quarkonia are studied in two approaches: with the use of the Afonin-Pusenkov representation of the Regge trajectory for the squared excitation energy E2(nl) (ERT), and using the relativistic Hamiltonian with the universal interaction. The parameters of the ERTs are extracted from experimental mass differences and their values in bottomonium: the intercept a(b b)=0.131\,GeV2, the slope of the orbital ERT bl(b b) =0.50\,GeV2, and the slope of the radial ERT, bn(b b)=0.724\,GeV2, appear to be smaller than those in charmonium, where a(c c)=0.381\,GeV2, bl(c c)=0.686\,GeV2, and the radial slope bn(c c)= 1.074\,GeV2, which value is close to that in light mesons, bn(q q)=1.1(1)\,GeV2. For the resonances above the D D threshold the masses of the c0(nP) with n=2,3,4, equal to 4218\,MeV, 4503\,MeV, 4754\,MeV, are obtained, while above the B B threshold the resonances (3\,3D1) with the mass 10693\,MeV and b1(4\,3P1) with the mass 10756\,MeV are predicted.
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