We investigate effects of nonzero Dirac and Majorana $CP$-violating phases on neutrino-antineutrino oscillations in a magnetic field of astrophysical environments. It is shown that in the presence of strong magnetic fields and dense matter, nonzero $CP$ phases can induce new resonances in the oscillations channels ${\nu }_e\leftrightarrow {\overline{\nu }}_e$, ${\nu }_e\leftrightarrow {\overline{\nu }}_{\mu }$, and ${\nu }_e\leftrightarrow {\overline{\nu }}_{\tau }$. We also consider all other possible oscillation channels with ${\nu }_{\mu }$ and ${\nu }_{\tau }$ in the initial state. The resonances can potentially lead to significant phenomena in neutrino oscillations accessible for observation in experiments. In particular, we show that neutrino-antineutrino oscillations combined with Majorana-type $CP$ violation can affect the ${\overline{\nu }}_e/{\nu }_e$ ratio for neutrinos coming from the supernovae explosion. This effect is more prominent for the normal neutrino mass ordering. The detection of supernovae neutrino fluxes in the future experiments, such as JUNO, DUNE, and Hyper-Kamiokande, can give an insight into the nature of $CP$ violation and, consequently, provides a tool for distinguishing the Dirac or Majorana nature of neutrinos.

中文翻译：

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超新星中微子振荡中非零 MajoranaCP 违反相位的表现

我们研究了非零狄拉克和马约拉纳的影响 $C磷$- 天体物理环境磁场中中微子-反中微子振荡的违反相位。结果表明，在强磁场和致密物质存在下，非零$C磷$ 相位可以在振荡通道中引起新的共振 ${\nu }_{\mathrm{电子}}\leftrightarrow {\overline{\nu }}_{\mathrm{电子}}$, ${\nu }_{\mathrm{电子}}\leftrightarrow {\overline{\nu }}_{\mu }$， 和 ${\nu }_{\mathrm{电子}}\leftrightarrow {\overline{\nu }}_{\tau }$. 我们还考虑了所有其他可能的振荡通道${\nu }_{\mu }$ 和 ${\nu }_{\tau }$在初始状态。共振可能会导致可在实验中观察到的中微子振荡中的显着现象。特别是，我们表明中微子-反中微子振荡与马约拉纳型$C磷$ 违规会影响 ${\overline{\nu }}_{\mathrm{电子}}/{\nu }_{\mathrm{电子}}$来自超新星爆炸的中微子的比率。对于正常的中微子质量排序，这种效应更为突出。在未来的实验中检测超新星中微子通量，如 JUNO、DUNE 和 Hyper-Kamiokande，可以深入了解$C磷$ 违反，因此，提供了区分中微子的狄拉克或马约拉纳性质的工具。