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The kinematic constrains on interacting nucleons in Large Hadron Collider(LHC) heavy-ion collisions are investigated in the framework of the Heavy IonJet Interaction Generator (HIJING) code incorporated with a collective cascaderecipe. The latter is used to implement energy-momentum conservation constrainson both primary and secondary interacting nucleons. It is found that theenergy-momentum conservation constrains on the interacting nucleons affect thewhole charged particle pseudo-rapidity density distribution$(\frac{dN_{ch}}{d\eta})$, at different centralities (from central (0-5\%) toperipheral (70-80\%) collisions), in Pb+Pb collisions at $\sqrt{s_{NN}} =2.76$TeV. In particular, the kinematic constrains on interacting nucleons are shownto reduce $(\frac{dN_{ch}}{d\eta})$ yield at mid-pseudorapidity$(\lvert\eta\rvert<2)$ in all centrality intervals, which is consistent withthe LHC data. In addition, the model predicts an enhancement of the hadronproduction at $\lvert\eta\rvert>8$, which could be checked in future ALICE ZeroDegree calorimeter. Such an enhancement is found to be mainly due to theinteractions of protons at the spectator parts of the collision. This indicatesthat the kinematic constrains are important for a correct geometrical treatmentof Pb+Pb collisions at LHC energies.

Kinematic constrains on interacting nucleons in $Pb+Pb$ collisions at $\sqrt{s_{NN}}=2.76$ TeV within the HIJING code