论文标题
重力在原子现象中额外维度的影响
Effects of gravity in extra dimensions in atomic phenomena
论文作者
论文摘要
我们将理论和实验之间的差异用于简单的原子系统（氢，蒙克，正电子和迪特龙）中的能量间隔，以发现Arkani hamed -hamed -dimopoulos -dvali模型的额外空间尺寸的限制，以便在短距离上进行重力。作为另一个实验事实，我们使用基本颗粒的小尺寸重力结合状态。我们证明了扰动理论方法不起作用，并且通过求解库仑和重力场中电子的狄拉克方程来获得更可靠的结果。这些结果探测分子中核之间的距离小于核之间的距离，并且限制明显强大地比使用氢分子光谱获得的额外尺寸大小的限制。
We use the difference between theory and experiment for energy intervals in simple atomic systems (hydrogen, muonium, positronium and deuteron) to find limits on the size of extra space dimensions in the Arkani-Hamed - Dimopoulos - Dvali model for gravitation potential on short distances. As an additional experimental fact we use absence of the small size gravitational bound states of elementary particles. We demonstrate that the perturbation theory approach does not work and more reliable results are obtained by solving the Dirac equations for an electron in Coulomb and gravitational fields. These results probe smaller distances than distance between nuclei in molecules and the limits are significantly stronger than the limits on the size of extra dimensions obtained using spectra of hydrogen molecules.
