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arXiv 1901.06217gr-qchep-phhep-th
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冻结自旋环的广义相对论实验

General relativity experiment with frozen spin rings

Andras Laszlo

摘要:

在近二十年的实验方案中,人们提出了一种冻结自旋储存环的概念,用于确定基本粒子电偶极矩的实验上限。在最近的一篇论文中,我们提出了一个完全协变的广义相对论(GR)计算在这样的混合磁电冻结自旋存储环的自旋输运,这可能有助于这种测量地球的引力修改效果。结果表明,类似于EDM信号,GR导致自旋进动出轨道平面,在冻结自旋条件下。垂直极化的累积率预计为-a*beta*gamma*g/c,其中g是地球表面的重力加速度,c是光速,beta*gamma是粒子动量与质量之比,而“a”是其磁矩异常。可以看出,该效应随着洛伦兹因子γ而无限增加。此外,它与磁矩异常'a'成比例。本文主要讨论了在一个现实的冻结自旋储存环配置检测这种效应的实验前景。这种测量将提供一种新的GR测试,在微观水平上采样GR的张量性质,作用于基本粒子的自旋矢量。结论是,相关的GR实验似乎是现实的大磁矩异常粒子,如tritons,helion 3或质子,而它是不现实的小磁矩异常粒子,如氘核,μ子或电子。

英文摘要:

In experimental proposals published in the last two decades, a so called frozen spin storage ring concept was proposed for setting upper experimental bounds to electric dipole moment (EDM) of elementary particles. In a recent paper of ours, a fully covariant general relativistic (GR) calculation was presented on the Earth's gravitational modification effect in such mixed magnetic-electric frozen spin storage ring on the spin transport, which could contribute to such measurement. It was shown that similarly to an EDM signal, GR causes a spin precession out of the orbital plane, under the frozen spin condition. The rate of the vertical polarization buildup is predicted to be -a*beta*gamma*g/c, where g is the gravitational acceleration on the surface of the Earth, c is the speed of light, beta*gamma is the particle momentum over mass, and 'a' is its magnetic moment anomaly. It is seen that the effect increases unboundedly with the Lorentz factor gamma. Moreover, it is proportional to the magnetic moment anomaly 'a'. This paper mainly addresses the experimental perspectives to detect this effect in a realistic frozen spin storage ring configuration. Such a measurement would provide a novel test of GR, sampling the tensorial nature of GR at a microscopic level, as acting on the spin vector of elementary particles. The conclusion is that the pertinent GR experiment seems to be realistic with large magnetic moment anomaly particles, such as tritons, helion3 or protons, whereas it is not realistic with small magnetic moment anomaly particles, such as deuterons, muons or electrons.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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