The neutrino-neutrino interaction effects in supernovae: the point of view from the matter basis
The neutrino-neutrino interaction effects in supernovae: the point of view from the matter basis
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超新星中的中微子相互作用效应：物质基础的观点
DOI：
10.1088/0954-3899/39/3/035201
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Cristina Volpe
中科院分区：
文献类型：
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作者：
Sébastien Galais;J. Kneller;Cristina Volpe
我们考虑了含有非对角复项的任意势的物质中中微子振荡的哈密顿量。我们在物质的瞬时本征态的基础上推导出相应的哈密顿量的表达式，根据可以从基于味道的哈密顿量及其导数推导出的量，对于任意数量的中微子味道。对于双中微子味的情况，我们使表达式显式，并将我们的结果应用于核心坍缩超新星中的中微子传播，其中哈密顿量包括与物质和中微子的耦合。结果表明，微中子风味的演化不仅与物质混合角的导数有关，还与相的导数有关。特别地，我们指出了相位导数的重要作用，这是由于中微子？中微子相互作用，并展示它如何在物质本征态的基础上引起哈密顿量的对角线元素之间的振荡简并。我们的结果还揭示了同步状态的结束是由于相位导数的快速增加，并确定了涉及非对角中微子？中微子相互作用的贡献和真空项。
We consider the Hamiltonian for neutrino oscillations in matter in the case of arbitrary potentials including off-diagonal complex terms. We derive the expressions for the corresponding Hamiltonian in the basis of the instantaneous eigenstates in matter, 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 neutrino propagation in core-collapse supernovae where the Hamiltonian includes both coupling to matter and to neutrinos. We show that the neutrino flavor 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 Hamiltonian in the basis of the eigenstates in matter. 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.
DOI：
10.1088/0004-637x/694/1/664
发表时间：
2007-08
期刊：
The Astrophysical Journal
影响因子：
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作者：
A. Marek;H. Janka
通讯作者：
A. Marek;H. Janka