论文标题

真空中的近似中微子振荡

Approximate Neutrino Oscillations in the Vacuum

论文作者

Ciuffoli, Emilio, Evslin, Jarah, Mohammed, Hosam

论文摘要

众所周知,由于质量本质态波包的分离或振荡波长度的基线不确定性,中微子振荡可能会降低。在本说明中,我们表明,如果未测量中微子共同创建的粒子,并且不与环境相互作用,则不存在第一个变质的来源。该演示使用鞍点近似,还假定实验的持续时间比一定阈值更长。我们使用外部波数据包模型独立地得出了该结果,并使用一个模型,其中负责中微子生产和检测的字段动态处理。直觉上,这是一个事实的结果:中微子发射时间不会影响最终状态,因此必须一致添加与不同排放时间相对应的幅度。这一事实也意味着,由质量本菌产生的振荡同时检测到的中微子是由中微子同时产生的,但仍然是相干的,意识到了Kobach,Manohar和McGreevy的中微子振荡范围。

It is well known that neutrino oscillations may damp due to decoherence caused by the separation of mass eigenstate wave packets or by a baseline uncertainty of order the oscillation wave length. In this note we show that if the particles created together with the neutrino are not measured and do not interact with the environment, then the first source of decoherence is not present. This demonstration uses the saddle point approximation and also assumes that the experiment lasts longer than a certain threshold. We independently derive this result using the external wave packet model and also using a model in which the fields responsible for neutrino production and detection are treated dynamically. Intuitively this result is a consequence of the fact that the neutrino emission time does not affect the final state and so amplitudes corresponding to distinct emission times must be added coherently. This fact also implies that oscillations resulting from mass eigenstates which are detected simultaneously arise from neutrinos which were not created simultaneously but are nonetheless coherent, realizing the neutrino oscillation paradigm of Kobach, Manohar and McGreevy.

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