Search for the radiative transition 𝜒𝑐⁢1⁡(3872)→𝛾⁢𝜓2⁡(3823)

Using 9.0  f⁢b−1 of 𝑒+⁢𝑒− collision data collected at center-of-mass energies from 4.178 to 4.278 GeV with the BESIII detector at the BEPCII collider, we perform the first search for the radiative transition 𝜒𝑐⁢1⁡(3872)→𝛾⁢𝜓2⁡(3823). No signal is observed and the upper limit on the ratio of branching fractions ℬ⁡(𝜒𝑐⁢1⁡(3872)→𝛾⁢𝜓2⁡(3823),𝜓2⁡(3823)→𝛾⁢𝜒𝑐⁢1)/ℬ⁡(𝜒𝑐⁢1⁡(3872)→𝜋+⁢𝜋−⁢𝐽/𝜓) is set at 0.075 at the 90% confidence level. Our result contradicts theoretical predictions under the assumption that the 𝜒𝑐⁢1⁡(3872) is the pure charmonium state 𝜒𝑐⁢1⁡(2⁢𝑃).