Neutrino diffraction induced by many body interaction
Abstract
The neutrino produced in the pion decay reveals a new diffraction phenomenon due to manybody 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 finitesize 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 neardetector regions in ground experiments. A new method for determining the absolute neutrino mass is proposed.
 Publication:

arXiv eprints
 Pub Date:
 June 2011
 arXiv:
 arXiv:1106.4968
 Bibcode:
 2011arXiv1106.4968I
 Keywords:

 High Energy Physics  Phenomenology;
 Quantum Physics
 EPrint:
 11 pages, 2 figure. effect of pion's lifetime added, new figures added, presentation improved