用超高能Cosmic Ray谱检验洛伦兹不变性
Testing Lorentz Invariance with Ultra High Energy Cosmic Ray Spectrum
摘要:
根据HiRes和Auger实验观测到的超高能宇宙线(UHECR)谱预测了GZK截止。结果提出了严格的约束的洛伦兹不变性破坏(LIV)的影响,已被引入解释GZK截止的AGASA数据中指出的情况下。假设源分布均匀,具有单一的幂律谱,我们考虑了电离产生、$e^+e^-$对产生和绝热能量损失等过程,计算了地球上观测到的UHECRs谱。计算中还考虑了LIV的影响。通过对HiRes单目谱和Auger组合谱的拟合,我们发现LIV参数分别被约束为$ξ=-0.8^{+3.2}_{-0.5}\times10^{-23}$和$0.0^{+1.0}_{-0.4}\times10^{-23}$,这与严格的Lorentz不变性在最高能量下是一致的.
英文摘要:
The GZK cutoff predicted at the Ultra High Energy Cosmic Ray (UHECR) spectrum as been observed by the HiRes and Auger experiments. The results put severe constraints on the effect of Lorentz Invariance Violation(LIV) which has been introduced to explain the absence of GZK cutoff indicated in the AGASA data. Assuming homogeneous source distribution with a single power law spectrum, we calculate the spectrum of UHECRs observed on Earth by taking the processes of photopion production, $e^+e^-$ pair production and adiabatic energy loss into account. The effect of LIV is also taken into account in the calculation. By fitting the HiRes monocular spectra and the Auger combined spectra, we show that the LIV parameter is constrained to $ξ=-0.8^{+3.2}_{-0.5}\times10^{-23}$ and $0.0^{+1.0}_{-0.4}\times10^{-23}$ respectively, which is well consistent with strict Lorentz Invariance up to the highest energy.
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