中微子的费米-玻尔兹曼统计与相对论有效自由度
Fermi-Boltzmann statistics of neutrinos and relativistic effective degrees of freedom
摘要：
我们研究了早期宇宙中非纯费米中微子的存在对相对论有效自由度的影响。中微子统计从费米-狄拉克统计到麦克斯韦-玻尔兹曼统计不断变换。我们发现当轻子不对称性为常数且较大时，中微子的相对论自由度随着偏离纯费米-狄拉克统计而减小。此外，我们证实了中微子统计从费米-狄拉克到麦克斯韦-玻尔兹曼的变化不足以覆盖中微子有效数的过剩。
英文摘要：
We investigate the effect of the presence of non-pure fermionic neutrinos on the relativistic effective degrees of freedom in the early universe. The statistics of neutrinos is transformed continuously from Fermi-Dirac to Maxwell-Boltzmann statistics. We find that the relativistic degrees of freedom decreases with the deviation from pure Fermi-Dirac statistics of neutrinos if there are constant and large lepton asymmetries. Additionally, we confirm that the change of the statistics of neutrinos from Fermi-Dirac to Maxwell-Boltzmann is not sufficient to cover the excess of the effective number of neutrinos.
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