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We investigate charmonium production in Pb+Pb collisions at LHC beam energy =2.76 A TeV at fixed-target experiment ($\sqrt {s_{}}$=72 GeV). In the frame of a transport approach including cold and hot nuclear matter effects on charmonium evolution, we focus on the anti-shadowing effect on the nuclear modification factors and for the yield and transverse momentum. The yield is more suppressed at less forward rapidity (2) than that at very forward rapidity (4) due to the shadowing and anti-shadowing in different rapidity bins.

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