Dynamics of neutrino wave packet in the Tachyon-like Dirac equation

被引：0

作者：

Nanni, L. ^{[1
]}

机构：

[1] Univ Ferrara, Fac Nat Sci, I-44122 Ferrara, Italy

来源：

REVISTA MEXICANA DE FISICA | 2020年 / 66卷 / 04期

关键词：

Dirac equation; superluminal neutrino; mass oscillation; Zitterbewegung;

D O I：

10.31349/RevMexFis.66.424

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this study, the tachyon-like Dirac equation, formulated by Chodos to describe superluminal neutrino, is solved. The analytical solutions are Gaussian wave packets obtained using the envelope method. It is shown that the superluminal neutrino behaves like a pseudo-tachyon, namely a particle with subluminal velocity and pure imaginary mass that fulfills the energy-momentum relation typical of classical tachyons. The obtained results are used to prove that the trembling motion of the particle position around the median, known as Zitterbewegung, also takes place for the superluminal neutrino, even if the oscillation velocity is always lower than the speed of light. Finally, the pseudo-tachyon wave packet is used to calculate the probability of oscillation between mass states, obtaining a formula analogous to the one obtained for the ordinary neutrino. This suggests that in the experiments concerning neutrino oscillation is not possible to distinguish tachyonic neutrinos from ordinary ones.

引用

页码：424 / 430

页数：7

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