The charmed mesons in the region above 3.0 GeV

TL;DR

This paper predicts the masses of excited charmed mesons above 3.0 GeV, accounting for potential flattening effects that lower their masses, and provides specific mass predictions for various excited states.

Contribution

It introduces a model considering potential flattening at large distances to predict excited charmed meson masses, aligning with observed mass shifts.

Findings

Masses of excited charmed mesons decrease by 50-150 MeV due to potential flattening.

Predicted masses for first and second excitations of charmed mesons.

Other states with higher quantum numbers are above 3.3 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: $M(2\,{}^3P_0)=2874$~MeV, $M(2\,{}^3P_2)=2968$~MeV, $M(2\,{}^3D_1)=3175$~MeV, and $M(2\,{}^3D_3)=3187$~MeV, and second excitations: $M(3\,{}^1S_0)=3008$~MeV, $M(3\,{}^3S_1)=3062$~MeV, $M(3\,{}^3P_0)=3229$~MeV, and $M(3\,{}^3P_2) =3264$~MeV, are predicted. The other states with $L=0,1,2$ and $n_r \geq 3$ have their masses in the region $M(nL)\geq 3.3$~GeV.