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arXiv 2106.02783hep-ph
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量子场论中中微子味与手征振荡的轻子数密度时空演化及波包类效应

Spacetime evolution of lepton number densities and wave packet-like effects for neutrino flavor and chiral oscillations in quantum field theory

Apriadi Salim Adam, Nicholas J. Benoit, Yuta Kawamura, Yamato Matsuo, Takuya Morozumi, Yusuke Shimizu, Naoya Toyota

AI总结:

本文基于量子场论构建轻子家族数密度算符的时间演化,研究狄拉克与马约拉纳中微子在非相对论和相对论能量下的味与手征振荡,并利用高斯动量分布分析波包类退相干效应,证明非相对论区域中微子质量类型仍可区分。

摘要:

我们提出一种基于量子场论的轻子家族数表述,用于中微子振荡唯象学,可适用于中微子的非相对论与相对论能量。该表述针对狄拉克和马约拉纳两种类型的中微子构建。该表述被构造为轻子家族数密度算符的时间演化。于是,轻子家族数密度算符的时间演化变得依赖于质量,并出现新的特征。密度算符的期望值在动量振幅具有高斯分布的初态下进行求值。这使我们能够研究波包类退相干效应。我们表明,在非相对论区域,即使存在波包类退相干效应,中微子质量的类型仍然是可区分的。

英文摘要:

We present a formulation of lepton family numbers, based on quantum field theory, for neutrino oscillation phenomenology that can be applied to nonrelativistic and relativistic energies for neutrinos. It is formulated for both types of neutrinos, Dirac and Majorana. The formulation is constructed as the time evolution of a lepton family number density operator. Then, the time evolution of the lepton family number density operator becomes dependent on the mass and new features appear. The expectation value of the density operator is evaluated for the initial state with a Gaussian distribution for the momentum amplitude. This enables us to study wave packet-like decoherence effects. We show in the nonrelativistic regime, the type of neutrino mass are distinguishable even under the presence of wave packet-like decoherence effects.

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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