Search for new decay modes of the $ψ_2(3823)$ and the process $e^+e^-\rightarrowπ^0π^0ψ_2(3823)$
The decays $ψ_2(3823)\rightarrowγχ_{c0,1,2}, π^+π^-J/ψ, π^0π^0J/ψ, ηJ/ψ$, and $π^0J/ψ$ are searched for using the reaction $e^+e^-\rightarrowπ^+π^-ψ_2(3823)$ in a 19 fb$^{-1}$ data sample collected at center-of-mass energies between 4.1 and 4.7 GeV with the BESIII detector. The process $ψ_2(3823)\rightarrowγχ_{c1}$ is observed in a 9 fb$^{-1}$ data sample in the center-of-mass energy range 4.3 to 4.7 GeV, which confirms a previous observation but with a higher significance of $11.8σ$, and evidence for $ψ_2(3823)\rightarrowγχ_{c2}$ is found with a significance of $3.2σ$ for the first time. The branching-fraction ratio $\frac{\mathcal{B}(ψ_2(3823)\rightarrowγχ_{c2})}{\mathcal{B}(ψ_2(3823)\rightarrowγχ_{c1})}$ is determined. No significant $ψ_2(3823)$ signals are observed for any of the other decay channels. Upper limits of branching-fraction ratios for $ψ_2(3823)\rightarrowπ^+π^-J/ψ, π^0π^0J/ψ, ηJ/ψ, π^0J/ψ, γχ_{c0}$ relative to $ψ_2(3823)\rightarrowγχ_{c1}$ are reported. The process $e^+e^-\rightarrowπ^0π^0ψ_2(3823)$ is also searched for, and we find evidence for the process with a significance of $4.3σ$. The average cross-section ratio $\frac{σ(e^+e^-\rightarrowπ^0π^0ψ_2(3823))}{σ(e^+e^-\rightarrowπ^+π^-ψ_2(3823))}$ is also determined.