Search for a scalar partner of the $X(3872)$ via $ψ(3770)$ decays into $γηη'$ and $γπ^{+}π^{-}J/ψ$

Abstract

Using a data sample corresponding to an integrated luminosity of 2.93 fb$^{-1}$ collected at a center-of-mass energy of 3.773~GeV with the BESIII detector at the BEPCII collider, we search for a scalar partner of the $X(3872)$, denoted as $X(3700)$, via $ψ(3770)\to γηη'$ and $γπ^{+}π^{-}J/ψ$ processes. No significant signals are observed and the upper limits of the product branching fractions $ {\cal B}(ψ(3770)\toγX(3700))\cdot {\cal B}(X(3700)\to ηη')$ and ${\cal B}(ψ(3770)\toγX(3700))\cdot {\cal B}(X(3700)\toπ^{+}π^{-}J/ψ)$ are determined at the 90\% confidence level, for the narrow $X(3700)$ with a mass ranging from 3710 to 3740 MeV/$c^2$, which are from 0.8 to 1.8 $(\times 10^{-5})$ and 0.9 to 3.4 $(\times 10^{-5})$, respectively.