Abstract
We present an overview of the ALICE measurements on the production of J/ψ in Pb-Pb collisions at a centre-of-mass energy per nucleon pair of √SNN = 2.76 TeV and p-Pb collisions at √sNN = 5.02 TeV at mid-rapidity (|ylab| < 0.8) down to zero transverse momentum. The cold nuclear matter effects estimated from the p-Pb measurements and their impact on the interpretation of Pb-Pb results are discussed, based on comparison of data to model calculations.
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