Precise Measurement of the ${\chi }_{c0}$ Resonance Parameters and Branching Fractions of ${\chi }_{c0,c2}\to {\pi }^{+}{\pi }^{-}/K^{+}{K}^{-}$

Abstract

By analyzing a $\psi (3686)$ data sample containing $(107.7\pm 0.6)\times 10^6$ events taken with the BESIII detector at the BEPCII storage ring in 2009, the ${\chi }_{c0}$ resonance parameters are precisely measured using ${\chi }_{c0,c2}\to {\pi }^{+}{\pi }^{-}/K^{+}{K}^{-}$ events. The mass of ${\chi }_{c0}$ is determined to be $M({\chi }_{c0})=(3415.63\pm 0.07\pm 0.07\pm 0.07$)~MeV/$c^2$, and its full width is $\Gamma ({\chi }_{c0})=(12.52\pm 0.12\pm 0.13)\mathrm{MeV}$, where the first uncertainty is statistical, the second systematic, and the third for mass comes from ${\chi }_{c2}$ mass uncertainty. These measurements improve the precision of ${\chi }_{c0}$ mass by a factor of four and width by one order of magnitude over the previous individual measurements, and significantly boost our knowledge about the charmonium spectrum. Together with additional $(345.4\pm 2.6)\times 10^6$ $\psi (3686)$ data events taken in 2012, the decay branching fractions of ${\chi }_{c0,c2}\to {\pi }^{+}{\pi }^{-}/K^{+}{K}^{-}$ are measured as well, with precision improved by a factor of three compared to previous measurements. These ${\chi }_{c0}$ decay branching fractions provide important inputs for the study of glueballs.

arXiv comment9 pages, 2 figure

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