帕拉提尼引力理论中的氢原子
Hydrogen atom in Palatini theories of gravity
摘要：
本文研究了Palatini形式的$f(R)$引力理论中的引力相互作用对氢原子定态的影响。我们表明，在这个系统中的作用的引力是非常重要的拉格朗日方程$f(R)$的条款，在低曲率增长，这已被提出来解释宇宙的加速膨胀率。我们发现，新的引力诱导项在原子哈密顿产生强烈的反反应，是不相容的束缚态的存在。事实上，在1/R模型中，氢气在不到两小时内分解。因此，我们观察到的宇宙与那种引力相互作用是不相容的。具有高曲率修正的拉格朗日函数不会导致这种不稳定性。
英文摘要：
We study the effects that the gravitational interaction of $f(R)$ theories of gravity in Palatini formalism has on the stationary states of the Hydrogen atom. We show that the role of gravity in this system is very important for lagrangians $f(R)$ with terms that grow at low curvatures, which have been proposed to explain the accelerated expansion rate of the universe. We find that new gravitationally induced terms in the atomic Hamiltonian generate a strong backreaction that is incompatible with the very existence of bound states. In fact, in the 1/R model, Hydrogen disintegrates in less than two hours. The universe that we observe is, therefore, incompatible with that kind of gravitational interaction. Lagrangians with high curvature corrections do not lead to such instabilities.
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