Search for the radiative transition χ_c1 (3872) → γψ₂(3823)

Using 9.0 fb(-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 chi(c1) (3872) -> chi psi(3823). No signal is observed and the upper limit on the ratio of branching fractions B(chi(c1) (3872) -> chi psi(2) (3823), psi(2) (3823) -> gamma chi(c1)/B chi(c1)(3872) -> pi(+)pi(-) J/psi) is set at 0.075 at the 90% confidence level. Our result contradicts theoretical predictions under the assumption that the chi(c1)(3872) is the pure charmonium state chi(c1)(2P).