Abstract
The masses of Ψ((n + 1)3 S 1) and Ψ(n 3 D 1) are calculated using the relativistic string Hamiltonian with “linear + gluon-exchange” potential. They occur in the range 4.5–5.8 GeV, in particular, M(3D) = 4.54 GeV, M(5S) = 4.79 GeV, M(4D) = 4.85 GeV are calculated with accuracy ∼50 MeV. The linear Regge trajectories: M 2(nS) = M 2(ψ(4.42)) + 2.91 GeV2 (n − 4) (n ≥ 4) and M 2(nD) = M 2(Ψ(4.54)) + 2.88 GeV2 (n − 3) (n ≥ 3) are obtained only for higher charmonium states. They have a slope two times larger than that of light mesons and give a good description of calculated masses. These masses are compared with enhancements in some recent e + e − experiments.
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Badalian, A.M. Radial Regge trajectories for higher ψ(nS) and ψ(nD) states. Phys. Atom. Nuclei 74, 1375–1381 (2011). https://doi.org/10.1134/S106377881109002X
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DOI: https://doi.org/10.1134/S106377881109002X