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Using a data sample corresponding to an integrated luminosity of 10.9fb$^{-1}$ collected at center-of-mass energies from 4.16 to 4.34 GeV with theBESIII detector, we search for the decay $\chi_{c1}(3872) \to\pi^{+}\pi^{-}\chi_{c1}$ in the radiative production $e^{+}e^{-} \to \gamma\chi_{c1}(3872)$. No significant signal is observed, and the ratio for thebranching fraction of $\chi_{c1}(3872) \to \pi^{+}\pi^{-}\chi_{c1}$ to$\chi_{c1}(3872) \to \pi^{+}\pi^{-}J/\psi$ is measured as$\mathcal{R}\equiv\frac{\mathcal{B}[\chi_{c1}(3872) \to\pi^{+}\pi^{-}\chi_{c1}]}{\mathcal{B}[\chi_{c1}(3872) \to \pi^{+}\pi^{-}J/\psi]}<0.18$ at 90$\%$ confidence level. The upper limit on the product ofthe cross section $\sigma[e^{+}e^{-}\to\gamma\chi_{c1}(3872)]$ and thebranching fraction $\mathcal{B}[\chi_{c1}(3872)\to\pi^{+}\pi^{-}\chi_{c1}]$ ateach center-of-mass energy is also given. These measurements favor thenon-conventional charmonium nature of the $\chi_{c1}(3872)$ state.

Search for the decay $\chi_{c1}(3872)\to\pi^{+}\pi^{-}\chi_{c1}$