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arXiv 0706.3167hep-ph
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通过活性-不育混合产生不育物种:一个精确可解模型

Production of a sterile species via active-sterile mixing: an exactly solvable model

D. Boyanovsky

摘要:

在一个精确可解的模型中研究了热介质中通过活性-无菌混合产生无菌物种的问题。无菌分布函数的\emph{exact}时间演化由准粒子模的色散关系和阻尼率$Γ_{1,2}$决定。这些依赖于$\wtg = Γ_{aa}/2ΔE$,$Γ_{aa}$是在没有混合的情况下活性物质的相互作用速率,$ΔE$是在没有阻尼的介质中的振荡频率。$\wtg \ll1,\wtg \gg 1$分别描述了弱阻尼极限和强阻尼极限。对于$\wtg\ll1$,$Γ_1 = Γ_{aa}\cos^2\tm ; Γ_{2}=Γ_{aa}\sin^2\tm$,其中$\tm$是培养基中的混合角,无菌分布函数\emph{does not}遵循简单的速率方程。对于$\wtg \gg 1$、$Γ_1= Γ_{aa}$和$Γ_2 = Γ_{aa} \sin^22\tm/4\wtg^2$,为无菌生产率。在该方案中,不育生产被抑制,并且振荡频率\emph{vanishes}处于MSW共振,绝热性被破坏。这是量子芝诺抑制的结果。对于具有标准模型相互作用的活动中微子,强阻尼极限是在MSW共振附近可用的\emph{only} \emph{if} $\sinθ\lesssim α_w$,其中$θ$是真空混合角。从量子主方程出发,得到了任意$\wtg$无菌生产的量子动力学方程。宇宙学共振无菌中微子的产生是量子芝诺抑制的,消除了与QCD相变有关的潜在不确定性。

英文摘要:

The production of a sterile species via active-sterile mixing in a thermal medium is studied in an exactly solvable model. The \emph{exact} time evolution of the sterile distribution function is determined by the dispersion relations and damping rates $Γ_{1,2}$ for the quasiparticle modes. These depend on $\wtg = Γ_{aa}/2ΔE$, with $Γ_{aa}$ the interaction rate of the active species in absence of mixing and $ΔE$ the oscillation frequency in the medium without damping. $\wtg \ll1,\wtg \gg 1$ describe the weak and strong damping limits respectively. For $\wtg\ll1$, $Γ_1 = Γ_{aa}\cos^2\tm ; Γ_{2}=Γ_{aa}\sin^2\tm$ where $\tm$ is the mixing angle in the medium and the sterile distribution function \emph{does not} obey a simple rate equation. For $\wtg \gg 1$, $Γ_1= Γ_{aa}$ and $Γ_2 = Γ_{aa} \sin^22\tm/4\wtg^2$, is the sterile production rate. In this regime sterile production is suppressed and the oscillation frequency \emph{vanishes} at an MSW resonance, with a breakdown of adiabaticity. These are consequences of quantum Zeno suppression. For active neutrinos with standard model interactions the strong damping limit is \emph{only} available near an MSW resonance \emph{if} $\sinθ\lesssim α_w$ with $θ$ the vacuum mixing angle. The full set of quantum kinetic equations for sterile production for arbitrary $\wtg$ are obtained from the quantum master equation. Cosmological resonant sterile neutrino production is quantum Zeno suppressed relieving potential uncertainties associated with the QCD phase transition.

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