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arXiv 1209.5585hep-phhep-exquant-ph
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测量中微子绝对质量的一种新方法

A new method for measuring the absolute neutrino mass

Kenzo Ishikawa, Yutaka Tobita

摘要:

在π衰变中产生的中微子在短于寿命$τ_π$的中间体$T$($T \leq τ_π$)中被探测到的概率对中微子的绝对质量很敏感。在有限的$T$上,利用新构造的满足实验边界条件的S矩阵$S[T]$,计算出事件的速率为$Γ_0+\tilde{g}(ω_ν, {T};τ_π) \tilde Γ_{1} $,其中$\tilde{g}(ω_ν,{T};τ_π)$弱依赖于$τ_π$和$ω_ν={m_ν^2c^4}/{(2E_ν\hbar)}$,$c$是光速. $Γ_0$是标准的,而修正值$\tilde{g}(ω_ν, {T};τ_π) \tilde Γ_{1} $反映了相对论不变性,并通过系统的光锥奇异性严格计算,揭示了单个量子的衍射图案。该公式解释了中微子实验中未解决的异常现象,并指出了重中微子的质量,分别为正常或反向质量等级的$0.098 \pm 0.022$或$0.083 \pm 0.026$ {eV}/ $c^2$。

英文摘要:

The probability of the event that a neutrino produced in pion decay is detected in the intermediate $T$ shorter than the life-time $τ_π$, $T \leq τ_π$, is sensitive to the absolute mass of the neutrino. With a newly formulated S-matrix $S[T]$ that satisfies the boundary conditions of the experiments at a finite $T$, the rate of the event is computed as $Γ_0+\tilde{g}(ω_ν, {T};τ_π) \tilde Γ_{1} $, where $\tilde{g}(ω_ν,{T};τ_π)$ depends weakly on $τ_π$ and $ω_ν={m_ν^2c^4}/{(2E_ν\hbar)}$, $c$ is the speed of light. $Γ_0$ is the standard one and the correction, $\tilde{g}(ω_ν, {T};τ_π) \tilde Γ_{1} $, reflects relativistic invariance and is rigorously computed via the light-cone singularity of the system and reveals the diffraction pattern of a single quantum. The formula explains unsolved anomalies of neutrino experiments and indicates the heavy neutrino mass, $0.098 \pm 0.022$ or $0.083 \pm 0.026$ {eV}/ $c^2$ for normal or inverted mass hierarchies, respectively.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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