Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
; Peking Univ, Dept Phys, Beijing 100871, Peoples R China
; Acad Sinica, Inst High Energy Phys, Beijing 100039, Peoples R China
Based on random matrix theory and reduced BS equation, it is found that the regular motion of c (c) over bar system can be expected at a small value of color screening mass but the chaotic motion at a large one. It is shown that the level mixing due to color screening serves as a new mechanism resulting in J/psi suppression. Moreover, this kind of suppression can occur before the color screening mass reaches its critical value for J/psi dissociation. In addition, it is implied that a strong J/psi suppression is possible in the absence of dissociation of J/psi.