The production of charmonia $J/\psi$(1S) and $\psi^\prime$(2S) in the antiproton-nucleus reactions at $p_{lab}=3-10$ GeV/c is studied on the basis of the Glauber model taking into account nuclear Fermi motion effects [1,2]. The main reaction channel is charmonium formation in an antiproton-proton collision. We show that the target mass dependence of the charmonium transparency ratio allows to determine the genuine charmonium-nucleon dissociation cross section. This is contrasted to the $J/\psi$ photoproduction at high energies ($E_\gamma=20$ and 120 GeV), where charmonium formation length is large which blurs the sensitivity of the transparency ratio to the charmonium-nucleon dissociation cross section. Furthermore, the polarization effects in the production of $\chi_{c2}$(1P) states are evaluated within the generalized eikonal approximation [3]. Finally, the new opportunities for the studies of the $X,Y,Z$ noncharmonium candidates at PANDA experiment are discussed.

[1] G.R. Farrar, L.L. Frankfurt, M.I. Strikman, H. Liu, Nucl. Phys. B 345, 125 (1990) [2] A.B. Larionov, M. Bleicher, A. Gillitzer, M. Strikman, Phys. Rev. C 87, 054608 (2013) [3] A.B. Larionov, M. Strikman, M. Bleicher, Phys. Rev. C 89, 014621 (2014)