If massive neutrinos are Majorana particles, then the lepton number should be violated in nature and neutrino-antineutrino oscillations ${\nu }_{\alpha }\leftrightarrow {\bar{\nu }}_{\beta }$ (for $\alpha ,\beta =e,\mu ,\tau$) will definitely take place. In the present paper, we study the properties of CP violation in neutrino-antineutrino oscillations with the non-unitary leptonic flavor mixing matrix, which is actually a natural prediction in the canonical seesaw model due to the mixing between light and heavy Majorana neutrinos. The oscillation probabilities $P({\nu }_{\alpha }\to {\bar{\nu }}_{\beta })$ and $P({\bar{\nu }}_{\alpha }\to {\nu }_{\beta })$ are derived, and the CP asymmetries ${\mathcal{A}}_{\alpha \beta }\equiv [P({\nu }_{\alpha }\to {\bar{\nu }}_{\beta })-P({\bar{\nu }}_{\alpha }\to {\nu }_{\beta })]/[P({\nu }_{\alpha }\to {\bar{\nu }}_{\beta })+P({\bar{\nu }}_{\alpha }\to {\nu }_{\beta })]$ are also calculated. Taking into account current experimental bounds on the leptonic unitarity violation, we show that the CP asymmetries induced by the non-unitary mixing parameters can significantly deviate from those in the limit of a unitary leptonic flavor mixing.

如果大质量中微子是马约拉纳粒子，那么轻子数在自然界和中微子-反中微子振荡中应该是违反的 ${\nu }_{\alpha }\leftrightarrow {\bar{\nu }}_{\beta }$ （为了 $\alpha ,\beta =\mathrm{电子},\mu ,\tau$) 肯定会发生。在本文中，我们研究了具有非幺正轻子风味混合矩阵的中微子-反中微子振荡中 CP 违反的性质，这实际上是典型跷跷板模型中由于轻中微子和重马约拉纳中微子之间的混合而产生的自然预测。振荡概率$磷({\nu }_{\alpha }\to {\bar{\nu }}_{\beta })$ 和 $磷({\bar{\nu }}_{\alpha }\to {\nu }_{\beta })$ 导出，并且CP不对称 ${\mathcal{一种}}_{\alpha \beta }\equiv [磷({\nu }_{\alpha }\to {\bar{\nu }}_{\beta })-磷({\bar{\nu }}_{\alpha }\to {\nu }_{\beta })]/[磷({\nu }_{\alpha }\to {\bar{\nu }}_{\beta })+磷({\bar{\nu }}_{\alpha }\to {\nu }_{\beta })]$也计算。考虑到当前轻子单一性违反的实验界限，我们表明由非单一混合参数引起的 CP 不对称性可以显着偏离单一轻子风味混合的极限。