  We analyze the applicability of perturbative QCD (pQCD) approach to the issue
of $J/\psi$ recombination at the Large Hadron Collider (LHC), and calculate the
recombination cross section for $c\bar{c}$ recombination to form $J/\psi$ as a
function of temperature. The charmonium wavefunction is obtained by employing a
temperature dependent phenomenological potential between the $c\bar{c}$ pair.
The temperature dependent formation time of charmonium is also employed in the
current work. A set of coupled rate equations is established which incorporates
color screening, gluonic dissociation, collisional damping and recombination of
uncorrelated $c\bar{c}$ pair in the quark-gluon plasma (QGP) medium. The final
$J/\psi$ suppression, thus determined as a function of centrality is compared
with the ALICE experimental data at both mid and forward rapidity and CMS
experimental data at mid rapidity obtained from the Large Hadron Collider (LHC)
at center of mass energy $\sqrt{s_{NN}} = 2.76$ TeV.
  Keywords : Color screening, Recombination, Gluonic dissociation, Collisional
damping, Survival probability, pQCD, Charmonium
  PACS numbers : 12.38.Mh, 12.38.Gc, 25.75.Nq, 24.10.Pa
