We investigated the effect of magnetic fields on the collision process between dense molecular cores. We performed three-dimensional magnetohydrodynamic simulations of collisions between two self-gravitating cores using the Enzo adaptive mesh refinement code. The core was modeled as a stable isothermal Bonnor-Ebert (BE) sphere immersed in uniform magnetic fields. Collisions were characterized by the offset parameter , Mach number of the initial core , magnetic field strength , and angle between the initial magnetic field and collision axis. For head-on () collisions, one protostar was formed in the compressed layer. The higher the magnetic field strength, the lower the accretion rate. For models with and , the accretion rate was more dependent on the initial magnetic field strength compared with and models. For off-center () collisions, the higher specific angular momentum increased; therefore, the gas motion was complicated. In models with and , the number of protostars and gas motion highly depended on and . For models with and , no significant shock-compressed layer was formed and star formation was not triggered.

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