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arXiv 0704.2944hep-ph
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中微子统计与双β衰变

Statistics of neutrinos and the double beta decay

A. S. Barabash, A. D. Dolgov, R. Dvornicky, F. Simkovic, A. Yu. Smirnov

摘要:

我们假设中微子违反了泡利不相容原理,因此中微子至少部分服从玻色-爱因斯坦统计。我们引入了参数sin ^2 chi,它表征中微子波函数的玻色子(对称)分数。考虑了双中微子双β衰变不相容原理违反的后果。这种破坏强烈地改变了衰变的速率,并改变了发射电子的能量和角分布。纯玻色子中微子被排除在现有的数据。在部分玻色子(或混合统计)中微子的情况下,通过对现有数据的分析,可以得出保守上限sin ^2 chi < 0.6。我们还评估了未来测量双中微子双β衰变对sin ^2 chi的灵敏度。

英文摘要:

We assume that the Pauli exclusion principle is violated for neutrinos, and thus, neutrinos obey at least partly the Bose-Einstein statistics. The parameter sin^2 chi is introduced that characterizes the bosonic (symmetric) fraction of the neutrino wave function. Consequences of the violation of the exclusion principle for the two-neutrino double beta decays are considered. This violation strongly changes the rates of the decays and modifies the energy and angular distributions of the emitted electrons. Pure bosonic neutrinos are excluded by the present data. In the case of partly bosonic (or mixed-statistics) neutrinos the analysis of the existing data allows to put the conservative upper bound sin^2 chi < 0.6. The sensitivity of future measurements of the two-neutrino double beta decay to sin^2 chi is evaluated.

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