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arXiv 1606.05087hep-ph
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凝聚物质间的中微子对交换长程力

Neutrino-Pair Exchange Long-Range Force Between Aggregate Matter

A. Segarra

摘要:

本文研究了在中微子质量为零的情况下,由于中微子对交换而引起的两个中性物质--电荷--聚集体之间的长程作用力。构造有效势的概念基础来自于低t值时的相干散射振幅。该振幅是使用在s的阈值处t中的未减去的色散关系的方法获得的,其中(s,t)是洛伦兹不变散射变量。紫外行为与长程力无关。反过来,t依赖中的吸收部分由相应的么正关系给出。我们表明,描述这种力的潜力下降为$r^{-5}$在大的分离距离r。这种相互作用是用它自己的电荷来描述的,我们称之为相互作用系统的弱味电荷,它取决于中微子的味,如$Q_W^e = 2Z-N$,$Q_W^μ= Q_W^τ= -N$。势的味依赖性分解为相互作用系统的弱电荷的乘积,因此所产生的力总是排斥的。此外,这种电荷与组成粒子的数量成正比,而组成粒子的数量与整体质量不同,因此这种相互作用可以通过偏离等效原理而与引力分离。

英文摘要:

We study the long-range force arising between two neutral---of electric charge---aggregates of matter due to a neutrino-pair exchange, in the limit of zero neutrino mass. The conceptual basis for the construction of the effective potential comes from the coherent scattering amplitude at low values of t. This amplitude is obtained using the methodology of an unsubtracted dispersion relation in t at threshold for s, where (s, t) are the Lorentz invariant scattering variables. The ultraviolet behavior is irrelevant for the long-range force. In turn, the absorptive part in the t-dependence is given by the corresponding unitarity relation. We show that the potential describing this force decreases as $r^{-5}$ at large separation distance r. This interaction is described in terms of its own charge, which we call the weak flavor charge of the interacting systems, that depends on the flavor of the neutrino as $Q_W^e = 2Z-N$, $Q_W^μ= Q_W^τ= -N$. The flavor dependence of the potential factorizes in the product of the weak charges of the interacting systems, so that the resulting force is always repulsive. Furthermore, this charge is proportional to the number of constituent particles, which differs from the global mass, so this interaction could be disentangled from gravitation through deviations from the Equivalence Principle.

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