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2008

Hydrogen atom in Palatini theories of gravity

Olmo, Gonzalo J.

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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.

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