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arXiv 1102.0644hep-phquant-ph
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π介子衰变中中微子的长程空间关联

Long-range spatial correlation of neutrino in pion decay

K. Ishikawa, Y. Tobita

摘要:

利用波包理论研究了高能π介子衰变中中微子的位置依赖性质。结果表明,当π介子具有较长的相干长度时,中微子几率具有普适的有限距离修正。这种修正源于中微子的干涉,这是由于中微子的小质量和π介子和μ介子系统的光锥奇异性引起的。这一项是正定的,在近探测器区的宏观距离处,中微子通量超过非相干值。通量以一种普遍的方式随距离缓慢减小,这是由中微子质量和能量的绝对值决定的。中微子质量的绝对值有望从有限距离的中微子探测概率中间接测量。

英文摘要:

Position-dependent property of the neutrino produced in high-energy pion decay is studied theoretically using a wave packet formalism. It is found that the neutrino probability has a universal finite-distance correction if the pion has a long coherence length. This correction has origins in the interference of the neutrino that is caused by the small neutrino mass and a light-cone singularity of the pion and muon system. This term is positive definite and leads excess to the neutrino flux over the in-coherent value at macroscopic distance of near detector region. The flux decreases slowly with distance in a universal manner that is determined by the absolute value of the neutrino mass and energy. Absolute value of the neutrino mass is expected to be measured indirectly from the neutrino detection probability at finite distance.

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