Abstract

The inclusive production of the charmonium state $\psi \left(2\mathrm{S}\right)$ was studied in p-Pb and Pb-Pb collisions at $\sqrt{{\mathit{s}}_{\mathrm{NN}}}$ = 8.16 TeV and 5.02 TeV respectively, using the ALICE detector at the CERN LHC. The $\psi \left(2\mathrm{S}\right)$ is less bound than the $J/\psi$ and it represents an interesting probe for the study of cold nuclear matter effects in p-Pb collisions, while in the Pb-Pb system its formation can be strongly influenced by QGP production. The measurements are performed in different center-of-mass rapidity ranges, 2.03 < $y_{\mathrm{cms}}$ < 3.53 and −4.46 < $y_{\mathrm{cms}}$ < −2.96 for p-Pb collisions and 2.5 < $y_{\mathrm{cms}}$ < 4.0 for Pb-Pb collisions, down to zero transverse momentum, through the $\psi \left(2\mathrm{S}\right)\to {\mu }^{+}{\mu }^{-}$ decay channel. The results are compared to those obtained for the $J/\psi$ and with theoretical predictions.