Understanding masses of $c\bar{s}$ states in Regge phenomenology

Abstract

In the framework of Regge phenomenology, masses of the charmed states $c\bar{q} (q=u,d,s)$ lying on the $1^3S_1$-like trajectories are estimated. The overall agreement between our estimated masses and the recent predictions given by modified quark models[hep-ph/0605019, hep-ph/0608011, hep-ph/0608139] is good. Masses of the observed charmed states $D_{s0}(2317)$, $D_{sJ}(2860)$ and $D_{sJ}(2690)$/$D_{sJ}(2700)$ can be reasonably reproduced in the picture of these charmed states as simple quark-antiquark configurations. We therefore suggest the $D_{s0}(2317)$ can be identified as the $c\bar{s}(1^3P_0)$ states. The possible assignments of the $D_{sJ}(2860)$ and $D_{sJ}(2690)$/ $D_{sJ}(2700)$ are discussed.