Sha and co-workersreported the evidence for Collisional quantum interference (CQI) on rotational energytransfer in the CO A1Π(v=0)~e3∑-(v=1)system in collision withHe, Ne and other partners in 1995 and had measured the integral interference angles. Chenet al. Observed the COI in Na2(A1∑u+,v=8~B3π0u,v=14)system in collision with Na(3s) experimentally andtheoretically, Sun et al measured the integral interference angles. But the differentialinterference angles are not measured much. In this paper, as a further theoretical studyof the collision-induced quantum interference on rotational energy transfer in anatom-diatom system, based on the first-Born approximation of time-dependent perturbationtheory, taking into account the anisotropic Lennard-Jones interaction potential and thelong-range interaction potential, the differential interference angles for singlet-tripletmixed states of Na2(A1∑u+,v=8~b3Π0u,v=14)system in collision with Na were calculted theoretically.The relationships of differential interference angle versus impact parameter includingcollision parameter, velocity, are obtained. This theoretical model is important tounderstand or perform the experiment in the molecular beam.lijian@163.com作者简介：马凤才.E-mail:fcma@lnu.edu.cn.通讯作者