Kenzo Ishikawa, Yutaka Tobita
A probability to detect the neutrino produced in a high-energy pion decay is shown to receive the large finite-size correction. The neutrino is detected at a distant position with a target nucleus and is a superposition of highly correlated waves with the pion and a charged lepton in a wide spatial region. Whole process is described by an S-matrix of a finite time interval, which has an energy non-conserving term, and the final states of a broad energy spectrum specific to a relativistic invariant system contribute to the positive semi-definite correction similar to diffraction of waves through a hole. This diffraction component can be computed rigorously with a light-cone singularity of the pion and charged lepton system and is stable under changes of the pion's energy. Moreover it has a universal form that depends on the absolute neutrino mass. Thus a new method of measuring the absolute neutrino mass is suggested.
View original:
http://arxiv.org/abs/1206.2593
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