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 that depends on the neutrino mass, $m_ν$ and energy, $E_ν$, the speed of light, $c$, and the distance $L$ between the positions of the initial pion and final neutrino, ${m_ν^2c^4 L}/{(2E_ν\hbar)}$. 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.

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