标题： 中微子味振荡在静态和球对称的黑洞类虫洞中 显示英文标题

标题： The neutrino flavor oscillations in the static and spherically symmetric black-hole-like wormholes

摘要： 我们研究由Damour-Solodukhin虫洞引起的中微子透镜效应对中微子振荡的影响。 我们在存在Damour-Solodukhin因子$\Lambda$作为质量源的位移的情况下推导并计算了味转换概率，以表明中微子味振荡不仅对平方质量差的符号敏感，而且对两味和三味情况下的中微子个体质量也敏感，这与此处提到的先前工作中关于黑洞的结果类似。 由于参数$\Lambda$在一个区域内，可以绘制出概率函数相对于方位角角度$\phi$的曲线，具有确定的中微子质量，在两味中微子和三味中微子的情况下，它们的形状彼此相似。 考虑到由于虫洞引起的概率函数，我们揭示了因子$\Lambda$的贡献是新颖的。 基于我们对概率表达式的分析和数值讨论，由虫洞因子$\Lambda$的位移引起的中微子味振荡差异是可以检测到的。 至关重要的是，$\Lambda$作为对黑洞的偏离可以在三味中微子的情况下极大地改变曲线的形状。 可以将图中描绘的中微子振荡估计值与探测器的测量结果进行详细比较，这为判断远处的恒星作为透镜是类黑洞虫洞还是仅仅是球对称黑洞打开了一扇新的窗口，进一步可以估算虫洞因子$\Lambda$。 显示英文摘要

摘要： We study the effects of neutrino lensing induced by a Damour-Solodukhin wormhole on the neutrino oscillation. We derive and calculate the flavour transition probabilities in the presence of Damour-Solodukhin factor $\Lambda$ as a shift in the massive source to show that the neutrino flavour oscillation is also sensitive not only to the sign of difference between the squared masses but also to the individual mass of neutrinos in both the two-flavour and the three-flavour cases, which is similar to the results for the black holes in the previous works mentioned here. As a consequence of parameter $\Lambda$ within a region, a series of curves of probability function versus the azimuthal angle $\phi$ with definite masses of neutrino can be plotted and their shapes resemble each other in the case of two-flavoured neutrinos and of three-flavoured ones. In view of the probability functions due to the wormhole, we reveal that the contribution of the factor $\Lambda$ is novel. Based on our analytical and numerical discussions on the probability expressions, the difference of the neutrino flavour oscillation arising from the shift in the wormhole factor $\Lambda$ is detectable. It is crucial that the $\Lambda$ as deviation from the black holes can change the shapes of the curves greatly, in the case of three-flavoured neutrinos in particular. The detailed comparisons can be made among our estimations depicted in the figures for neutrino oscillations and the measurements from the detector, which open a new window for judging whether the remote star as lens is black-hole-like wormhole or just a spherically symmetric black hole and further the wormhole factor $\Lambda$ can be estimated.