arXiv 1102.14712011-02astro-ph.SRhep-ph

超新星中的中微子-中微子相互作用效应：从物质基础的观点

The neutrino-neutrino interaction effects in supernovae: the point of view from the 'matter' basis

S. Galais, J. Kneller, C. Volpe

备注：: 11 pages, 5 figures, text and manuscript structure improved
DOI：: 10.1088/0954-3899/39/3/035201

摘要：

本文研究了含有非对角复项的任意势场中物质中中微子振荡的哈密顿量。我们推导出的“物质基础”的哈密顿量可以从口味的基础哈密顿量及其衍生物，为任意数量的中微子口味。我们使我们的表达式明确的两个中微子味的情况下，并将我们的结果的情况下，哈密顿量包括耦合到物质和中微子，它描述了中微子在核心坍缩超新星的传播。我们表明，中微子味的演变取决于混合矩阵的衍生物，不仅涉及的物质混合角的衍生物，但也相位。特别是，我们指出的重要作用的相位导数，出现由于中微子-中微子相互作用，并显示它如何能够导致物质基础哈密顿量的对角元素之间的振荡简并。我们的研究结果还表明，该同步制度的结束是由于相位导数的快速增加，并确定的条件，以满足双极振荡的发病涉及的非对角中微子中微子相互作用的贡献和真空项。

英文摘要：

We consider the Hamiltonian for neutrino oscillations in matter in the case of arbitrary potentials including off-diagonal complex terms. We derive the 'matter basis' Hamiltonian in terms of quantities one can derive from the flavor basis Hamiltonian and its derivative, for an arbitrary number of neutrino flavors. We make our expressions explicit for the two-neutrino flavor case and apply our results to the situation where the Hamiltonian includes both coupling to matter and to neutrinos, which describes neutrino propagation in core-collapse supernovae. We show that the neutrino flavour evolution depends on the mixing matrix derivatives involving not only the derivative of the matter mixing angles but also of the phases. In particular, we point out the important role of the phase derivatives, that appear due to the neutrino-neutrino interaction, and show how it can cause an oscillating degeneracy between the diagonal elements of the matter basis Hamiltonian. Our results also reveal, that the end of the synchronization regime is due to a rapid increase of the phase derivative, and identify the condition to be fulfilled for the onset of bipolar oscillations involving both the off-diagonal neutrino-neutrino interaction contributions and the vacuum terms.

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英文摘要：

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