Mass spectra and decay properties ofDsmeson in a relativistic Dirac formalism

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The mass spectra of the ${D}_{s}$ meson is obtained in the framework of the relativistic independent quark model using a Martin-like potential for the quark confinement. The predicted excited states are in good agreement with the experimental results as well as with the lattice and other theoretical predictions. The spectroscopic parameters are employed further to compute the decay constant, electromagnetic transition and leptonic decay widths. The present result for its decay constant, ${f}_{P}$ (252.82 MeV) is in excellent agreement with the value $252.6\ifmmode\pm\else\textpm\fi{}11.1\text{ }\mathrm{MeV}$ reported by CLEO-c. The predicted branching ratios for $({D}_{s}\ensuremath{\rightarrow}\ensuremath{\tau}{\overline{\ensuremath{\nu}}}_{\ensuremath{\tau}},\ensuremath{\mu}{\overline{\ensuremath{\nu}}}_{\ensuremath{\mu}})$ ($5.706\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}2},5.812\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}3}$) are in close agreement with the values [$(5.43\ifmmode\pm\else\textpm\fi{}0.31)\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}2},(5.90\ifmmode\pm\else\textpm\fi{}0.33)\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}3}$] reported in Particle Data Group. The Cabibbo favored semileptonic branching ratio of $[{D}_{s}\ensuremath{\rightarrow}\ensuremath{\phi}{e}^{+}{\ensuremath{\nu}}_{e}(2.01%)]$ and that of the hadronic decay $[{D}_{s}\ensuremath{\rightarrow}\ensuremath{\phi}{\ensuremath{\pi}}^{+}(4.62%)]$ are in very good agreement with the respective Particle Data Group values, and the branching ratio $[{D}_{s}\ensuremath{\rightarrow}{K}^{0}{\ensuremath{\pi}}^{+}(2.16\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}3})]$ is in very good agreement with the branching ratio of $(2.40\ifmmode\pm\else\textpm\fi{}0.18)\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}3}$ reported by Belle collaboration.