Interpreting Charm-Strange Mesons with a Screened Potential Model

Our effort is to assign the spin–parity of experimentally unknown excited charm-strange mesons such as D s 1 ( 2536 ) ± , D s 2 ∗ ( 2573 ) ± , D s 1 ∗ ( 2860 ) ± , D s 3 ∗ ( 2860 ) ± and D sJ ( 3040 ) ± within the phenomenological framework of color-Coulomb plus screened potential model. To see the relativistic effect in the quark–antiquark bound state, we introduce the first-order correction O 1 m in the potential energy term and expanding the kinetic energy term up to O ( p 10 ) . The spin–spin, spin–orbit and the spin–tensor interaction terms are incorporated perturbatively to see splitting in mass spectra. The spectroscopy of radially and orbitally excited charm-strange mesons are allows to construct the Regge trajectories in ( M 2 , J ) and ( M 2 , n r ) planes. Moreover, the radiative transitions and the decay properties of this excited charm-strange mesons are also calculated. Our results are listed with other theoretical outcomes obtained from the various potential model as well as with the experimental observations where available. These phenomenological study of excited charm-strange mesons could provide valuable information on the future experimental search for the missing higher radial and orbital excitations.