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We calculate the E1 transition widths of higher vector charmonium states intothe spin-triplet 2P states in three typical potential models, and discuss thepossibility to detect these 2P states via these E1 transitions. We attempt toclarify the nature of some recently observed X,Y,Z states by comparing themwith these 2P charmonium states in these E1 transitions. In particular, thecalculated branching ratios of $\psi(4040),\psi(4160)\to \chi^{'}_{c_J}\gamma$(J=0,1,2) are found to be in the range of $10^{-4}-10^{-3}$, and sensitive tothe 3S-2D mixing of $\psi(4040)$ and $\psi(4160)$. The mixing angle may beconstrained by measuring $\psi(4040),\psi(4160)\to Z(3930)\gamma$, if Z(3930)is identified with the $\chi^{'}_{c_2}$ state, and then be used in measuring$\chi^{'}_{c_{0,1}}$ states. These processes can be studied experimentally at$e^+e^-$ colliders such as BEPCII/BESIII and CESR/CLEO.

Search for $\chi_{c_J}(2P)$ from Higher Charmonim E1 Transitions and X,Y,Z States