AI 中文总结
本研究采用双味模型探究黑洞周围暗物质与幻影场对中微子振荡的影响，发现偏转中微子受暗物质额外相移、透镜质量与暗物质参数存在简并，为暗物质研究提供中微子天文学新视角。
AI 中文摘要
本研究采用双味模型，探究黑洞背景下暗物质与幻影场（DMPF）对中微子味振荡的影响。研究发现，径向运动的中微子所受引力效应相互抵消，振荡相位随距离和质量分裂增大而增加，与平直时空情况类似；而偏转中微子会因暗物质产生额外相移，轻微改变质量差项与总相位。数值分析验证了上述结果，且揭示透镜质量与暗物质参数间存在简并性，会影响基于源角变化的跃迁概率曲线。将中微子建模为高斯波包的研究表明，引力场中的退相干受暗物质影响极小，绝对中微子质量决定振荡持续时间。研究结论指出，弯曲时空与暗物质对中微子振荡有显著影响，为极端环境下通过中微子天文学研究暗物质提供了潜在见解。
英文摘要
This study investigates how dark matter in the background of the phantom field (DMPF) near a black hole influences neutrino flavor oscillations using a two-flavor model. It is found that gravitational effects are cancelled for radially moving neutrinos, causing the oscillation phase to increase with distance and mass-splitting, similar to flat spacetime. However, deflected neutrinos experience additional phase shifts due to dark matter, which slightly alters the mass-difference term and the total phase. Numerical analysis supports these findings and reveals a degeneracy between lens mass and dark matter parameters, affecting the transition probability curves based on source angle changes. Neutrinos modeled as Gaussian wave packets show that decoherence in a gravitational field is minimally influenced by dark matter, with the absolute neutrino mass determining the oscillation duration. Our findings imply that curved spacetime and dark matter significantly impact neutrino oscillations, offering potential insights into dark matter through neutrino astronomy in extreme environments.
