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We propose a method based on the moments of the $D^{-} K^{+}$ massdistribution in the $B^+ \to D^{+} D^{-} K^{+} $ decay to disentangle thecontribution of the $ 2^{+} $ state, partner of $X_{0}(2900)$ in the $ \barD^{*} K^{*}$ picture for this resonance. Some of these moments show theinterference patterns of the $X_{1}(2900)$ and $X_{0}(2900)$ with the $ 2^{+} $state, which provide a clearer signal of the $ 2^{+} $ resonance than the $2^{+} $ signal alone. The construction of these magnitudes from present data iseasy to implement, and based on these data we show that clear signals for thatresonance should be seen even with the present statistics.

Method to observe the $J^{P}=2^{+}$ partner of the $X_{0}(2866)$ in the $B^+ \to D^{+} D^{-} K^{+} $ reaction