Spin oscillations of neutrinos, gravitationally scattered off a black hole (BH), are studied. The cases of nonrotating and rotating BHs are analyzed. We derive the analytic expressions for the transition and survival probabilities of spin oscillations when neutrinos interact with these gravitational backgrounds. The obtained transition probabilities depend on the impact parameter, as well as the neutrino energy and the particle mass. We find that there is a possibility of spin oscillations of ultrarelativistic neutrinos scattering off a rotating BH. Then, considering the neutrino scattering off BH surrounded by background matter, we derive the effective Schrödinger equation for spin oscillations. The numerical solution of this equation is obtained in the case of a supermassive BH with a realistic accretion disk. Spin effects turn out to be negligible in the neutrino scattering in the Schwarzschild metric. In the Kerr metric, we find that the observed neutrino fluxes can be reduced almost 10% because of spin oscillations when ultrarelativistic neutrinos experience gravitational scattering. The neutrino interaction with an accretion disk results in the additional modification of the intensities of outgoing neutrino fluxes. We consider the applications of the obtained results for the neutrino astronomy.

中文翻译：

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中微子的自旋振荡散布在旋转的黑洞中

研究了在重力作用下从黑洞（BH）分散的中微子的自旋振荡。分析了非旋转和旋转BH的情况。我们推导出中微子与这些引力背景相互作用时自旋振荡的跃迁和生存概率的解析表达式。所获得的跃迁概率取决于碰撞参数以及中微子能量和粒子质量。我们发现，超相对论中微子自旋转的BH散射出来的自旋振荡是有可能的。然后，考虑中微子被背景物质包围的BH散射，我们得出了自旋振荡的有效Schrödinger方程。在具有实际吸积盘的超大规模BH的情况下，可以得到该方程的数值解。结果表明，在Schwarzschild度量标准的中微子散射中，自旋效应可以忽略不计。在Kerr度量中，我们发现，当超相对论中微子经历重力散射时，由于自旋振荡，观察到的中微子通量可以减少近10％。中微子与吸积盘的相互作用导致传出中微子通量强度的额外改​​变。我们考虑所得结果在中微子天文学中的应用。中微子与吸积盘的相互作用导致传出中微子通量强度的额外改​​变。我们考虑所得结果在中微子天文学中的应用。中微子与吸积盘的相互作用导致传出中微子通量强度的额外改​​变。我们考虑所得结果在中微子天文学中的应用。