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arXiv 1406.5489hep-phastro-ph.COnucl-th
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中微子磁矩、CP破坏与物质的味振荡

Neutrino Magnetic Moment, CP Violation and Flavor Oscillations in Matter

Y. Pehlivan, A. B. Balantekin, Toshitaka Kajino

摘要:

我们考虑中微子的集体振荡,这是新兴的非线性味演化现象,在天体物理环境中的中微子-中微子相互作用煽动足够高的中微子密度。我们研究了在完整的三味混合方案和精确的多体提法,包括CP破坏和中微子磁矩的影响的问题的对称性。我们发现,类似于两个口味的计划,几个动力学对称性存在三种口味的单角近似,如果在环境中的净电子背景和中微子磁矩的影响可以忽略不计。此外,我们表明,即使在中微子振荡中CP对称性被破坏,这些动力学对称性也是存在的。我们明确地写出了运动常数,通过这些运动常数,这些动力学对称性以SU(3)味变换的生成元的形式表现出来。我们还证明了在忽略中微子电磁相互作用的情况下,多体演化算符中的CP破坏狄拉克相因子的影响与非线性味变换无关.在强磁场的存在下,只要中微子磁矩的定义有效,CP破坏效应仍然可以被独立地考虑。

英文摘要:

We consider collective oscillations of neutrinos, which are emergent nonlinear flavor evolution phenomena instigated by neutrino-neutrino interactions in astrophysical environments with sufficiently high neutrino densities. We investigate the symmetries of the problem in the full three flavor mixing scheme and in the exact many-body formulation by including the effects of CP violation and neutrino magnetic moment. We show that, similar to the two flavor scheme, several dynamical symmetries exist for three flavors in the single-angle approximation if the net electron background in the environment and the effects of the neutrino magnetic moment are negligible. Moreover, we show that these dynamical symmetries are present even when the CP symmetry is violated in neutrino oscillations. We explicitly write down the constants of motion through which these dynamical symmetries manifest themselves in terms of the generators of the SU(3) flavor transformations. We also show that the effects due to the CP-violating Dirac phase factor out of the many-body evolution operator and evolve independently of nonlinear flavor transformations if neutrino electromagnetic interactions are ignored. In the presence of a strong magnetic field, CP-violating effects can still be considered independently provided that an effective definition for neutrino magnetic moment is used.

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