  Charmonium production is a probe sensitive to deconfinement in
nucleus-nucleus collisions. The production of J/$\psi$ via regeneration within
the QGP or at the phase boundary has been identified as an important ingredient
for the description of the observed J/$\psi$ nuclear modification factor at the
LHC. The $\psi(2S)$ production relative to J/$\psi$ is a possible discriminator
between the two regeneration scenarios. Studies of $\psi(2S)$ production in
central nucleus-nucleus collisions at low transverse momentum ($p_{\rm T}$) are
crucial, particularly at the LHC, where regeneration appears to be dominant. A
significant $\psi$(2S) signal is extracted at low $p_{\rm T}$ and forward
rapidity in the dimuon decay channel for the first time. This measurement
relies on the $\psi(2S)$ cross section measured recently in pp collisions at
$\sqrt{s_{\rm }}=5.02$ TeV with an unprecedented precision compared to previous
ALICE results. In this contribution, we present newly published results on the
$\psi(2S)$-to-J/$\psi$ ratio and the $\psi(2S)$ nuclear modification factor in
Pb-Pb collisions at $\sqrt{s_{\rm NN}}=5.02$ TeV. Results are reported as a
function of centrality and $p_{\rm T}$ for $p_{\rm T}<12$ GeV/c and are
compared to available NA50 and CMS measurements. Comparisons to transport and
statistical hadronization model predictions are also provided to shed light on
the charmonium states recombination mechanism

Nuclear Experiment