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arXiv 1503.01431hep-phgr-qc
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非惯性系中中微子与背景物质的相互作用

Neutrino interaction with background matter in a noninertial frame

Maxim Dvornikov

摘要:

研究了狄拉克中微子在旋转背景物质中的传播。首先,我们在非惯性系中推导出单个大质量中微子的狄拉克方程,在非惯性系中物质是静止的。这个方程写在对应于共转标架的有效弯曲时空中。我们找到了狄拉克方程的精确解。得到了超相对论粒子的中微子能级。然后,我们讨论了几个中微子质量本征态,它们之间的非零混合,与旋转的背景物质相互作用。我们导出了旋转物质中中微子味振荡的有效薛定谔方程。得到了新的中微子振荡共振条件。我们还研究了由物质旋转引起的共振条件的修正。

英文摘要:

We study Dirac neutrinos propagating in rotating background matter. First we derive the Dirac equation for a single massive neutrino in the noninertial frame, where matter is at rest. This equation is written in the effective curved space-time corresponding to the corotating frame. We find the exact solution of the Dirac equation. The neutrino energy levels for ultrarelativistic particles are obtained. Then we discuss several neutrino mass eigenstates, with a nonzero mixing between them, interacting with rotating background matter. We derive the effective Schrödinger equation governing neutrino flavor oscillations in rotating matter. The new resonance condition for neutrino oscillations is obtained. We also examine the correction to the resonance condition caused by the matter rotation.

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。

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