The charmed mesons in the region above 3.0 GeV

Abstract

The masses of excited charmed mesons are shown to decrease by $\sim (50-150)$~MeV due to a flattening of the confining potential at large distances, which effectively takes into account open decay channels. The scale of the mass shifts is similar to that in charmonium for $\psi (4660)$ and ${\chi }_{c0}(4700)$. The following masses of the first excitations: $M(2{}^3{P}_0)=2874$~MeV, $M(2{}^3{P}_2)=2968$~MeV, $M(2{}^3{D}_1)=3175$~MeV, and $M(2{}^3{D}_3)=3187$~MeV, and second excitations: $M(3{}^1{S}_0)=3008$~MeV, $M(3{}^3{S}_1)=3062$~MeV, $M(3{}^3{P}_0)=3229$~MeV, and $M(3{}^3{P}_2)=3264$~MeV, are predicted. The other states with $L=0,1,2$ and $n_r\ge 3$ have their masses in the region $M(nL)\ge 3.3$~GeV.

15 pages, 4 tables

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