Artículo

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

Nanni, L.

Facultad de Ciencias, UNAM, publicado en Revista Mexicana de Física, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Entidad o dependencia
Facultad de Ciencias, UNAM
Revista
Repositorio
Contacto
Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

Cita

Nanni, L. (2020). Dynamics of neutrino wave packet in the Tachyon-like Dirac equation. Revista Mexicana de Física; Vol 66, No 4 Jul-Aug: 424-430. Recuperado de https://repositorio.unam.mx/contenidos/4107300

Descripción del recurso

Autor(es)
Nanni, L.
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
Dynamics of neutrino wave packet in the Tachyon-like Dirac equation
Fecha
2020-07-01
Resumen
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.
Tema
Dirac equation; superluminal neutrino; mass oscillation; Zitterbewegung
Idioma
eng
ISSN
2683-2224 (digital); 0035-001X (impresa)

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