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



Título del documento: Dynamics of neutrino wave packet in the Tachyon-like Dirac equation
Revue: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000453883
ISSN: 0035-001X
Autores: 1
Instituciones: 1Universita degli Studi di Ferrara, Faculty of Natural Science, Ferrara, Emilia Romagna. Italia
Año:
Periodo: Jul-Ago
Volumen: 66
Número: 4
Paginación: 424-430
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés 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
Disciplinas: Física y astronomía
Palabras clave: Física,
Ecuación de Dirac,
Neutrino superlumínico,
Oscilación de masa
Keyword: Physics,
Dirac equation,
Superluminal neutrino,
Mass oscillation
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