2009/07/30 by Junji Jia, Jia, Junji
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.48550/arxiv.0907.5390
10 pages; no figure; v3: more references added; some arguments added;
openalex publication_date 2009/07/30 · arxiv created 2010/07/25 · arxiv updated 2010/07/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The neutrino masses and oscillation are closely related to how neutrino propagates. In this paper, we first derive a new form of four-momentum conservation that connects the four-momentum (Eα,~pα) of the neutrino flavor eigenstate and the four momenta (Ei,~pi) of its mass eigen-components. Then we use the assumption that the mass eigen-components travel at equal velocity to derive the energy-momentum square difference (EMSD) Eα2-pα2 for the flavor eigenstate. It is shown that for the equal velocity assumption, Eα2-pα2 will be a fixed constant in events with different Eα and/or pα. In contrast, for the equal energy or equal momentum assumption, Eα2-pα2 will vary with Eα or pα respectively. These EMSD can be checked by ongoing and future neutrino experiments. The phase difference between two neutrino mass eigen-components |νi⟩ and |νj⟩ is then derived for the equal velocity assumption. For relativistic neutrinos, it is shown that the phase difference depends linearly on the distance energy ratio L/E, the mass difference mi-mj and an effective mass, in contrary to the linear dependance on L/E and mi2-mj2 as the phase difference for equal energy or equal momentum assumption dose. The new phase difference implies different bounds on the neutrino masses or mass difference.