The coalescence model based on nucleon distribution functions from anisospin-dependent transport model is used to study the production of lightclusters such as deuteron, triton, and $^{3}$He from heavy-ion collisionsinduced by neutron-rich nuclei at intermediate energies. It is found that theemission time of light clusters depends on their masses. For clusters with thesame momentum per nucleon, heavier ones are emitted earlier. Both the yield andenergy spectrum of light clusters are sensitive to the density dependence ofnuclear symmetry energy, with more light clusters produced in the case of astiff symmetry energy. On the other hand, effects due to the stiffness of theisoscalar part of nuclear equation of state and the medium dependence ofnucleon-nucleon cross sections on light cluster production are unimportant. Wehave also studied the correlation functions of clusters, and they are affectedby the density dependence of nuclear symmetry energy as well, with the stiffsymmetry energy giving a stronger anti-correlation of light clusters,particularly for those with large kinetic energies. Dependence of light clusterproduction on the centrality and incident energy of heavy ion collisions aswell as the mass of the reaction system is also investigated.
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