两粒子态、轻子混合和振荡
Two particle states, lepton mixing and oscillations
摘要:
轻子混合和振荡的讨论一般只考虑中微子的味振荡,而忽略了伴随的带电轻子。在实验感兴趣的情况下,如π介子或核β衰变,如果只观察到两种产生的粒子之一,那么实际上只有中微子才会出现振荡图案。我们认为,中微子的味振荡没有检测到伴随的轻子是一个特殊的两粒子态$|lν>$产生的π或核β衰变。一般来说,只有当两个粒子都被检测到时,才能发现振荡模式。我们讨论的教学方式如何产生的中微子的这种区别,虽然在拉格朗日轻子混合的水平上并没有单独对带电轻子。作为例子,我们讨论了由实$W$玻色子衰变产生的态$|lν>$和由π介子衰变产生的态$W$之间的区别。
英文摘要:
Discussions of lepton mixing and oscillations consider generally only flavor oscillations of neutrinos and neglect the accompanying charged leptons. In cases of experimental interest like pion or nuclear beta decay an oscillation pattern is expected indeed only for neutrinos if only one of the two produced particles is observed. We argue that flavor oscillations of neutrinos without detecting the accompanying lepton is a peculiarity of the two-particle states $|lν>$ produced in pion or nuclear beta decay. Generally, an oscillation pattern is only found if both particles are detected. We discuss in a pedagogical way how this distinction of the neutrinos arises, although on the level of the Lagrangian lepton mixing does not single them out against charged leptons. As examples, we discuss the difference between the state $|lν>$ produced by the decay of real $W$ boson and a $W$ originating from pion decay.
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