The current study involved a systematic study of $D_{s}^{±}$ meson through well-known Regge theory, which is a prominent approach in the study of hadron spectra.
By assuming the existence of the quasilinear Regge trajectories, numerous relations between Regge slope, intercept, and meson masses have been derived. By employing these obtained relations, the Regge parameters are calculated for the $0^-$ and $1^-$ trajectories in the $(J,M^2)$ plane in order to determine the masses of the orbitally excited states. The estimated masses are compared with results from several theoretical approaches as well as the available experimental data.
Our mass value estimations are expected to be helpful for future experimental evidences, and we expect more candidates for excited charm-strange mesons to be reported in forthcoming years from the running experimental facilities like LHCb, BABAR, BESIII, etc.