arXiv 1202.09532012-02hep-ph

中微子速度与中微子振荡

Neutrino Velocity and Neutrino Oscillations

H. Minakata, A. Yu. Smirnov

备注：: LaTeX, 24 pages, 1 eps figure, matches to the published version
发表信息：: Physical Review D85 (2012) 113006
DOI：: 10.1103/PhysRevD.85.113006

摘要：

我们研究的传播距离和群速度的μ子中微子的混合和振荡的存在下假设洛伦兹不变性举行。振荡导致$ν_μ$波包的失真，这又改变了群速度和$ν_μ$行进的距离。我们发现，在中微子波包形成的$π-$和$K-$介子衰变隧道中，距离$d_{osc}$的变化与中微子获得的波包长度$σ_x$和振荡相位$ϕ_p$成正比，其中：$d_{osc} \propto σϕ_p$。虽然距离$d_{osc}$可能有效地对应于超光速运动，但其影响太小（$\sim 10^{- 5}$ cm），与OPERA的结果不一致。我们分析了增加$d_{osc}$的各种可能性，并讨论了实验设置，其中$d_{osc}$（对应于超光速运动）可以达到一个可观察的值$\sim 1$ m。

英文摘要：

We study distances of propagation and the group velocities of the muon neutrinos in the presence of mixing and oscillations assuming that Lorentz invariance holds. Oscillations lead to distortion of the $ν_μ$ wave packet which, in turn, changes the group velocity and the distance $ν_μ$ travels. We find that the change of the distance, $d_{osc}$, is proportional to the length of the wave packet, $σ_x$, and the oscillation phase, $ϕ_p$, acquired by neutrinos in the $π-$ and $K-$ meson decay tunnel where neutrino wave packet is formed: $d_{osc} \propto σϕ_p$. Although the distance $d_{osc}$ may effectively correspond to the superluminal motion, the effect is too tiny ($\sim 10^{- 5}$ cm) to be reconciled with the OPERA result. We analyze various possibilities to increase $d_{osc}$ and discuss experimental setups in which $d_{osc}$ (corresponding to the superluminal motion) can reach an observable value $\sim 1$ m.

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