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

Abstract

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 1P 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 \(D_{sJ}(2700)\) as the \(2^3S_1\), \(D_{s0}(2590)\) as the \(2^1S_0\), \(D_{sJ}(2860)\) as the \(1^3D_3\), \(D_{s1}(2860)\) as the \(1^3D_1\) and \(D_{sJ}(3040)\) as the \(2^1P_1\) states. The effective coupling constants \(g_T\), \(g_X\), \(g_Y\), \(\tilde{g}_S\) and \(\tilde{g}_H\) determined in the present study appear to be consistent with the reported values. Furthermore, the \(D^*K\) decay channel emerges as the most promising mode for the experimental search of the missing \(1^3D_2\) and \(1^1D_2\) states, while the \(2^3P_0\) state is more likely to be observed through the DK channel.