许多研究将暗物质作为一种弱作用重粒子（WIMP），这有利于解释观测到的暗物质剩余丰度和宇宙大尺度结构形成等现象。由于中微子可以认为只参与弱相互作用，因此利用中微子在暗物质中的振荡可以较好地研究暗物质。现有研究多大多考虑暗物质中的中微子不同代之间的振荡，这里我们考虑暗物质中的中微子-反中微子振荡。本文首先叙述了中微子在真空中的振荡。进一步通过研究中微子在物质中的有效势，研究中微子的物质效应。在此基础上，我们探究暗物质中的中微子-反中微子振荡现象。发现在暗物质密度较大的地方，其振荡现象和其在真空中的振荡有着明显不同的表现。

Many studies regard dark matter as a kind of Weakly Interacting Massive Particles (WIMP), which is helpful to explain the residual abundance of dark matter and the formation of large-scale structure of universe. Since neutrinos can be considered to only participate in the weak interaction, the oscillation of neutrinos in dark matter can show the characteristics of the dark matter(WIMP). Most of the existing researches only considered neutrino oscillation between different flavors in the dark matter, and we explore neutrinos-antineutrino oscillations in the dark matter. In this article, we firstly describe the neutrino oscillation in vacuum. Through further study about neutrino effective potential in matter, we derive the possibility of neutrinos oscillations in matter. On this basis, we explore the neutrino - antineutrino oscillation in dark matter. It is found that the oscillations of dark matter in the dense regions are obviously different from those in the vacuum.