标题： 中微子引力散射中的自旋效应 显示英文标题

标题： Spin effects in neutrino gravitational scattering

摘要： 我们研究了中微子在非旋转黑洞（BH）引力散射下的自旋振荡。 当中微子仅与黑洞相互作用时，我们推导出自旋振荡的跃迁概率和生存概率的四边形表达式。 分析了这些概率对冲击参数的依赖性。 然后，我们得到了在背景物质环绕的黑洞处发生中微子散射时的中微子自旋振荡的有效薛定谔方程。 在超大质量黑洞伴有实际吸积盘的情况下，对该方程进行了数值求解。 我们发现由于自旋振荡，中微子通量可以减少近20%。 中微子与吸积盘的相互作用导致出射通量的强度出现额外的不对称性，这种不对称性取决于中微子轨迹。 显示英文摘要

摘要： We study spin oscillations of neutrinos gravitationally scattered off a nonrotating black hole (BH). We derive the transition and survival probabilities of spin oscillations in quadratures when neutrinos interacts with BH only. The dependence of the probabilities on the impact parameter is analyzed. Then, we obtain the effective Schr\"{o}dinger equation for neutrino spin oscillations in neutrino scattering off BH surrounded by background matter. This equation is solved numerically in the case of a supermassive BH with a realistic accretion disk. We find that the observed neutrino fluxes can be reduced almost 20% because of spin oscillations when neutrinos experience gravitational scattering. The neutrino interaction with an accretion disk results in the additional asymmetry in the intensities of outgoing fluxes depending on the neutrino trajectory.