Measurement of theD*(2010)+natural linewidth and theD*(2010)+−D0mass difference

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Abstract

We measure the mass difference, $\ensuremath{\Delta}{m}_{0}$, between the ${D}^{*}(2010{)}^{+}$ and the ${D}^{0}$ and the natural linewidth, $\ensuremath{\Gamma}$, of the transition ${D}^{*}(2010{)}^{+}\ensuremath{\rightarrow}{D}^{0}{\ensuremath{\pi}}^{+}$. The data were recorded with the BABAR detector at center-of-mass energies at and near the $\ensuremath{\Upsilon}(4S)$ resonance, and correspond to an integrated luminosity of approximately $477\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$. The ${D}^{0}$ is reconstructed in the decay modes ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ and ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$. For the decay mode ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ we obtain $\ensuremath{\Gamma}=(83.4\ifmmode\pm\else\textpm\fi{}1.7\ifmmode\pm\else\textpm\fi{}1.5)\text{ }\text{ }\mathrm{keV}$ and $\ensuremath{\Delta}{m}_{0}=(145425.6\ifmmode\pm\else\textpm\fi{}0.6\ifmmode\pm\else\textpm\fi{}1.8)\text{ }\text{ }\mathrm{keV}$, where the quoted errors are statistical and systematic, respectively. For the ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ mode we obtain $\ensuremath{\Gamma}=(83.2\ifmmode\pm\else\textpm\fi{}1.5\ifmmode\pm\else\textpm\fi{}2.6)\text{ }\text{ }\mathrm{keV}$ and $\ensuremath{\Delta}{m}_{0}=(145426.6\ifmmode\pm\else\textpm\fi{}0.5\ifmmode\pm\else\textpm\fi{}2.0)\text{ }\text{ }\mathrm{keV}$. The combined measurements yield $\ensuremath{\Gamma}=(83.3\ifmmode\pm\else\textpm\fi{}1.2\ifmmode\pm\else\textpm\fi{}1.4)\text{ }\text{ }\mathrm{keV}$ and $\ensuremath{\Delta}{m}_{0}=(145425.9\ifmmode\pm\else\textpm\fi{}0.4\ifmmode\pm\else\textpm\fi{}1.7)\text{ }\text{ }\mathrm{keV}$; the width is a factor of approximately 12 times more precise than the previous value, while the mass difference is a factor of approximately 6 times more precise.

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