Mass spectroscopy and strong decays of open charm-strange mesons using relativistic Dirac formalism

The mass spectra of charm-strange mesons including ground, radial and orbital excitations have been calculated within a relativistic Dirac framework. The predicted masses of the first orbital excited state 1 P exhibits excellent agreement with values reported by the PDG. Utilizing these mass predictions and an effective Lagrangian approach based on heavy quark and chiral symmetries, we have computed the OZI allowed two body strong decay widths of higher excited state candidates of charm-strange sector. The resulting partial widths and branching ratios enable the assignment of spin-parity quantum numbers to several newly observed charm-strange states. In particular, we identify DsJ(2700) D sJ ( 2700 ) as the 2³S₁ 2 3 S 1 , Dₛ₀(2590) D s 0 ( 2590 ) as the 2¹S₀ 2 1 S 0 , DsJ(2860) D sJ ( 2860 ) as the 1³D₃ 1 3 D 3 , Dₛ₁(2860) D s 1 ( 2860 ) as the 1³D₁ 1 3 D 1 and DsJ(3040) D sJ ( 3040 ) as the 2¹P₁ 2 1 P 1 states. The effective coupling constants gT