Unparticle contribution to the hydrogen atom ground state energy

In the present work we study the effect of unparticle modified static potentials on the energy levels of the hydrogen atom. By using Rayleigh–Schrödinger perturbation theory, we obtain the energy shift of the ground state and compare it with experimental data. Bounds on the unparticle energy scale ΛUΛU as a function of the scaling dimension dUdU and the coupling constant λ   are derived. We show that there exists a parameter region where bounds on ΛUΛU are stringent, signaling that unparticles could be tested in atomic physics experiments.