Grand Unified Theory and Neutrino Mass

(1)分析了Homestake、Kamioka和Boksan实验室最近的太阳中微子实验结果。我们发现，Homestake和Kamioka的结果，如果将这两个数据集结合在一起，强烈地表明了一些不寻常的中微子属性，而不是太阳天体物理模型的修改。在几种可能性中，Mikheyev和Smirnov提出的物质中的中微子振荡给出了对中微子通量破坏最有吸引力的解释。解表明，在简单的SO(10)大统一模式所预测的区域内，MV_x&lt；相似或等于&gt；10^&lt；-3&gt；-10^&lt；-4&gt；Ev。我们还强调了它是由镓实验检验的。(2)1985年，辛普森报道了在氚的β衰变中发现了质量为17keV的重中微子的证据。最近，关于这种粒子的一致证据已经在^&lt；14&gt；Cβ衰变谱中得到了报道。我们首先证明了这个17keV的中微子一定是狄拉克费米子。其次，我们发现了一个自然模型，该模型包含一个狄拉克中微子和其他质量很小的Majorana费米子。我们还证明了存在一类17keV中微子与太阳中微子问题的MSW解相容的模型。

(1) We analyzed the result of recent solar neutrino experiments from the Homestake, Kamioka and Boksan Laboratories. We found that the results from Homestake and Kamioka, if the two data sets are combined, strongly suggest some unusual neutrino properties rather than the modification of astrophysical models of the sun. The neutrino oscillation in matter proposed by Mikheyev and Smirnov among several possibilities yields the most attractive explanation for the neutrino flux defict. The solution suggests that mv_x <similar or equal> 10^<-3>-10^<-4> eV which is in the region predicted by the simple SO(10) grand unified model. We stressed also it is tested by the gallium experiment.(2) In 1985 Simpson reported the evidence for a heavy neutrino with a mass of 17 keV in the beta decay of tritium. Recently, the consistent evidence for this particle has been reported in ^<14>C beta decay spectrum. We first showed that this 17 keV neutrino must be a Dirac fermion. Secondly, We found a natural model which includes one Dirac neutrino and others are Majorana fermions with very small masses. We also showed that there are a class of model in which the 17 kev neutrino is compatible with the MSW-Solution to the solar neutrino problem.