利用精密分子光谱学限制额外空间维度
Constraining Extra Space Dimensions using Precision Molecular Spectroscopy
摘要：
对分子系统中量子能级能量的高度精确测量为新物理学提供了一个试验场，因为这种效应可以表现为原子和分子量子能级结构的微小变化。对于最轻的分子系统，中性分子氢（H $_2$，HD和D $_2$）和分子氢离子（H $_2^+$，HD $^+$和D $_2^+$），弱力效应比目前的实验和理论结果弱几个数量级，而牛顿引力和在特征分子距离标度1的强力的贡献可以安全地忽略不计。这些分子系统的实验和QED计算之间的比较可以解释为探测大的额外空间维度，在这些维度下，引力可能比普通的3-D空间强得多。在此假设下，利用H $_2$的谱，我们在Arkani-Hamed-Dimopoulos-Dvali（ADD）框架下导出了额外维紧化尺度的约束，在Randall-Sundrum（RS-I和RS-II）框架下导出了膜分离和体曲率的约束.
英文摘要：
Highly accurate measurements of quantum level energies in molecular systems provide a test ground for new physics, as such effects could manifest themselves as minute shifts in the quantum level structures of atoms and molecules. For the lightest molecular systems, neutral molecular hydrogen (H$_2$, HD and D$_2$) and the molecular hydrogen ions (H$_2^+$, HD$^+$ and D$_2^+$), weak force effects are several orders weaker than current experimental and theoretical results, while contributions of Newtonian gravity and the strong force at the characteristic molecular distance scale of 1 Å can be safely neglected. Comparisons between experiment and QED calculations for these molecular systems can be interpreted in terms of probing large extra space dimensions, under which gravity could become much stronger than in ordinary 3-D space. Under this assumption, using the spectra of H$_2$ we have derived constraints on the compactification scales for extra dimensions within the Arkani-Hamed-Dimopoulos-Dvali (ADD) framework, and constraints on the brane separation and bulk curvature within the Randall-Sundrum (RS-I and RS-II) frameworks.
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