Radial Regge trajectories for higher $ψ(nS)$ and $ψ(nD)$ states

Details Radial Regge trajectories for higher $ψ(nS)$ and $ψ(nD)$ states Radial Regge trajectories for higher $ψ(nS)$ and $ψ(nD)$ states

2010-11-25

arxiv.org/abs/1011.5580v2

Phys.Atom.Nucl.74:1375-1381,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 15 pages.References and short comments added. Invited paper to the special issue of Yadernaya Fizika, dedicated to the

Scientific paper

10.1134/S106377881109002X

The masses of $\psi((n+1) {}^3S_1)$ and $\psi(n {}^3D_1)$ 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 $\sim 50$ MeV. Linear Regge trajectories: $M^2(nS)=M^2(\psi(4.42))+ 2.91$ GeV$^2 (n-4)$ $(n\geq 4) $ and $M^2(nD)=(4.54^2+ 2.88 (n-3))$ GeV$^2$ ($n\geq 3$) are obtained only for higher charmonium excitations. They have slopes two times larger than those of light mesons and give good description of calculated masses. These masses are compared with enhancements in some recent $e^+e^-$ experiments.

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