弯曲时空中外场的中微子自旋振荡
Neutrino spin oscillations in external fields in curved spacetime
摘要：
研究了背景物质、电磁场和引力场中大质量狄拉克中微子的自旋振荡。首先，利用弯曲时空中中微子与外场相互作用的狄拉克方程，重新推导了以前基于广义协变性原理提出的中微子自旋演化的准经典方程。然后，我们应用这一结果的描述下，在恒定的横向磁场和引力波的影响下，在不运动和非极化物质的中微子自旋振荡。我们导出了在这些外场中中微子振荡的有效薛定谔方程并数值求解。选取实际的外场参数，我们证明了低能中微子自旋振荡可以发生参量共振。一些天体物理应用进行了简要讨论。
英文摘要：
We study spin oscillations of massive Dirac neutrinos in background matter, electromagnetic and gravitational fields. First, using the Dirac equation for a neutrino interacting with the external fields in curved spacetime, we rederive the quasiclassical equation for the neutrino spin evolution, which was proposed previously basing on principles of the general covariance. Then, we apply this result for the description of neutrino spin oscillations in nonmoving and unpolarized matter under the influence of a constant transverse magnetic field and a gravitational wave. We derive the effective Schrödinger equation for neutrino oscillations in these external fields and solve it numerically. Choosing realistic parameters of external fields, we show that the parametric resonance can take place in spin oscillations of low energy neutrinos. Some astrophysical applications are briefly discussed.
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