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We study the production of the spin partner of the X(3872), which is aD^{*}\bar D^{*} bound state with quantum numbers J^{PC}=2^{++} and namedX_2(4012) here, with the associated emission of a photon in electron--positroncollisions. The results show that the ideal energy region to observe theX_2(4012) in e^+e^- annihilations is from 4.4~GeV to 4.5~GeV, due to thepresence of the S-wave \bar D^{*} D_1(2420) and \bar D^{*} D_2(2460)thresholds, respectively. We also point out that it will be difficult toobserve the \gamma X(4012) at the e^+e^- center-of-mass energy around 4.26~GeV.

Production of the spin partner of the X(3872) in e^+e^- collisions