论文标题
类似Tachyon的Dirac方程中中微子波包的动力学
Dynamics of Neutrino Wave Packet in the Tachyon-like Dirac Equation
论文作者
论文摘要
在这项研究中，由Chodos制定的用于描述静脉中微子的Tachyon样狄拉克方程。分析溶液是使用包膜方法获得的高斯波数据包。结果表明，高光中微子的行为就像是伪tachyon，即具有腰式速度和纯假想质量的粒子，可以满足经典tachyons典型的能量摩托明关系。获得的结果用于证明粒子位置周围的颤抖运动（称为Zitterbewegung）也用于高光中微子，即使振荡速度始终低于光速。最后，使用伪tachyon波包来计算质量态之间振荡的概率，获得了类似于普通中微子的公式。这表明，在有关中微子振荡的实验中，无法将速度中微子与普通中微子区分开。
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 fulfils 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 suggest that in the experiments concerning neutrino oscillation is not possible to distinguish tachyonic neutrinos from ordinary ones.
