Neutrino diffraction induced by many body interaction

The neutrino produced in the pion decay reveals a new diffraction phenomenon due to many-body interactions in an intermediate time region when wave functions of the parent and daughters overlap. Because of diffraction, the probability to detect the neutrino involves a large finite-size correction th...

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Bibliographic Details
Published in:arXiv.org 2012-11
Main Authors: Ishikawa, Kenzo, Tobita, Yutaka
Format: Article
Language:English
Subjects:
Leptons
Many body interactions
Neutrinos
Wave diffraction
Wave functions
Online Access:Get full text
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Summary:The neutrino produced in the pion decay reveals a new diffraction phenomenon due to many-body interactions in an intermediate time region when wave functions of the parent and daughters overlap. Because of diffraction, the probability to detect the neutrino involves a large finite-size correction that depends on the neutrino mass, \(m_{\nu}\) and energy, \(E_{\nu}\), the speed of light, \(c\), and the distance \(L\) between the positions of the initial pion and final neutrino, \({m_{\nu}^2c^4 L}/{(2E_{\nu}\hbar)}\). The correction vanishes for the charged leptons and is finite for the neutrino at a macroscopic distance, \(L\), of near-detector regions in ground experiments. A new method for determining the absolute neutrino mass is proposed.
ISSN:2331-8422