arXiv 0712.21182007-12hep-thastro-phgr-qchep-ph

寻找牛顿万有引力定律的Randall-Sundrum型修正的实验建议

Proposal for an experiment to search for Randall-Sundrum type corrections to Newton's law of gravitation

Mofazzal Azam, M. Sami, C. S. Unnikrishnan, T. Shiromizu

备注：: 4 pages and 5 figures, figures improved, minor clarifications and few references added, final version to appear in PRD (rapid communications)
发表信息：: Phys.Rev.D77:101101,2008
DOI：: 10.1103/PhysRevD.77.101101

摘要：

弦论，以及受弦论启发的膜世界模型，如兰德尔-桑德拉姆（RS）模型，都提出了在小距离尺度上对牛顿引力定律的修正。在这方面，寻找标准重力的修正是一个活跃的研究领域。众所周知，短程引力修正会违反牛顿-伯克霍夫定理。基于有限尺寸球体的RS型非牛顿力的计算，我们提出了一个基于扭秤的实验，以寻找违反牛顿引力和广义相对论中这一著名定理的影响。我们解释了实验背后的主要原理，并提供了详细的计算，建议实验参数的最佳值。投影灵敏度足以探测高达10微米的Randall-Sundrum参数。

英文摘要：

String theory, as well as the string inspired brane-world models such as the Randall-Sundrum (RS) one, suggest a modification of Newton's law of gravitation at small distance scales. Search for modifications of standard gravity is an active field of research in this context. It is well known that short range corrections to gravity would violate the Newton-Birkhoff theorem. Based on calculations of RS type non-Newtonian forces for finite size spherical bodies, we propose a torsion balance based experiment to search for the effects of violation of this celebrated theorem valid in Newtonian gravity as well as the general theory of relativity. We explain the main principle behind the experiment and provide detailed calculations suggesting optimum values of the parameters of the experiment. The projected sensitivity is sufficient to probe the Randall-Sundrum parameter up to 10 microns.

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