We study cold and hot nuclear matter effects on charmonium production in p+Pb collisions at $sqrt{s_text{NN}}=5.02$ TeV in a transport approach. At the forward rapidity, the cold medium effect on all the $cbar c$ states and the hot medium effect on the excited $cbar c$ states only can explain well the $J/psi$ and $psi$ yield and transverse momentum distribution measured by the ALICE collaboration, and we predict a significantly larger $psi$ $p_text{T}$ broadening in comparison with $J/psi$. However, we can not reproduce the $J/psi$ and $psi$ data at the backward rapidity with reasonable cold and hot medium effects.
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