旋转黑洞散射中微子的自旋振荡
Spin oscillations of neutrinos scattered off a rotating black hole
摘要：
本文研究了中微子在黑洞（BH）引力作用下的自旋振荡。分析了非旋转和旋转黑洞的情况。我们导出了中微子与这些引力背景相互作用时自旋振荡的跃迁几率和生存几率的解析表达式。得到的跃迁几率依赖于碰撞参量，以及中微子能量和粒子质量。我们发现超相对论中微子在旋转黑洞上的散射存在自旋振荡的可能性。然后，考虑背景物质包围的BH对中微子的散射，导出了自旋振荡的有效薛定谔方程。在超大质量黑洞和真实的吸积盘的情况下，得到了该方程的数值解。在史瓦西度规中，自旋效应在中微子散射中是可以忽略的。在Kerr度规中，我们发现当超相对论性中微子受到引力散射时，由于自旋振荡，观测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了出射中微子流强度的额外修正。我们考虑所得结果在中微子天文学中的应用。
英文摘要：
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 Schrodinger 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
