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The background plasma influences the collision dynamics of charge exchange processes and these processes play a crucial role in plasma diagnostics and inertial confinement fusion.In plasmas,the screening effects reduce the inter-particle potentials as well as the ground state binding energy of the target [1].In this work,we employ the classical trajectory Monte Carlo (CTMC) method [2] to investigate the plasma screening effects on He2+ + H charge exchange cross sections.The results in plasmafree cases,dense quantum plasmas (DQPs) and weakly coupled plasmas (WCPs) are compared.