arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.01074hep-phastro-ph.COnucl-th
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中微子去偶包括味振荡和原始核合成

Neutrino decoupling including flavour oscillations and primordial nucleosynthesis

Julien Froustey, Cyril Pitrou, Maria Cristina Volpe

摘要:

我们重新讨论了中微子在早期宇宙中的味振荡去耦。我们重新推导的量子动力学方程,确定中微子演化的基础上BBGKY类层次结构,并包括第一次完整的碰撞项,与所有相关的反应的对角和非对角项。我们重点讨论了零化学势的情况,并数值求解这些方程。我们还开发了一个近似方案的基础上绝热演化的物质基础。事实上,振荡和宇宙学时间尺度之间的巨大差异允许考虑平均味振荡,当与微分系统雅可比矩阵的直接计算相结合时,平均味振荡可以将数值积分加速两个数量级。近似的数值方案也是有用的,以获得更多的洞察中微子去耦的物理。结合等离子体热力学QED修正的最新结果,我们将中微子的有效数更新为$N_{\mathrm{eff}} = 3.0440$。最后,我们研究了中微子退耦过程中味振荡对随后的原始核合成的影响。

英文摘要:

We revisit the decoupling of neutrinos in the early universe with flavour oscillations. We rederive the quantum kinetic equations which determine the neutrino evolution based on a BBGKY-like hierarchy, and include for the first time the full collision term, with both on- and off-diagonal terms for all relevant reactions. We focus on the case of zero chemical potential and solve these equations numerically. We also develop an approximate scheme based on the adiabatic evolution in the matter basis. In fact, the large difference between the oscillations and cosmological time scales allows to consider averaged flavour oscillations which can speed up the numerical integration by two orders of magnitude, when combined with a direct computation of the differential system Jacobian. The approximate numerical scheme is also useful to gain more insight into the physics of neutrino decoupling. Including the most recent results on plasma thermodynamics QED corrections, we update the effective number of neutrinos to $N_{\mathrm{eff}} = 3.0440$. Finally we study the impact of flavour oscillations during neutrino decoupling on the subsequent primordial nucleosynthesis.

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