2006/11/15 by Mikhail I. Shirokov, V. A. Naumov, Vadim A. Naumov
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph #quant-ph
paper · pdf · doi:10.2478/v10005-007-0006-y
published as ConceptsPhys.4:121-138,2007 · 14 pages, 2 figures
arxiv created 2006/11/15 · openalex publication_date 2007/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the neutrino oscillation problem in the framework of the wave packet formalism. The neutrino state is described by a packet located initially in a region S (source) and detected in another region D at a distance R from S. We examine how the oscillation probability as a function of variable R can be derived from he oscillation probability as a function of time t, the latter being found by using the Schrödinger equation. We justify the known prescription t→R/c without referring to a specific form of the neutrino wave packet and only assuming the finiteness of its support. The effect of the oscillation damping at large R is revealed. For an illustration, an explicit expression for the damping factor is obtained using Gaussian packet.