Preliminary Physics Summary: Transverse momentum and centrality dependence of inclusive J/$\psi$ production in p-Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV

Inclusive J/$\psi$ production in minimum bias p-Pb collisions at a collision energy per nucleon–nucleon pair of $\sqrt{s_{\rm NN}} = 5.02$ TeV is studied with a recent dataset from 2016 recorded by ALICE at the CERN-LHC. The production of J/$\psi$ is investigated in the dielectron channel in the central barrel in the centre-of-mass rapidity interval of $-1.37 < y_{\rm cms} < 0.43$. Preliminary results of the transverse momentum dependence of the nuclear modification factor $R_{\rm pPb}$ show a suppression at low transverse momentum ($p_{\rm T}$), decreasing in strength with increasing $p_{\rm T}$ and becoming consistent with the expectation from pp collisions for $p_{\rm T} \gtrsim 4$ GeV/$c$ . The centrality dependence of the nuclear modification factor is also studied.