Unparticle contribution to the hydrogen atom ground state energy

TL;DR

This paper investigates how hypothetical unparticle physics could alter the hydrogen atom's ground state energy levels, deriving bounds on unparticle parameters through comparison with experimental data.

Contribution

It introduces a novel application of unparticle physics to atomic energy levels and derives experimental bounds on unparticle parameters.

Findings

Bounds on unparticle energy scale $\\Lambda_\mathcal{U}$ are established.

Parameter regions where unparticles could be tested in atomic physics are identified.

Unparticle effects could produce measurable shifts in hydrogen atom energy levels.

Abstract

In the present work we study the effect of unparticle modified static potentials on the energy levels of the hydrogen atom. By using Rayleigh-Schr\"odinger perturbation theory, we obtain the energy shift of the ground state and we compare it with experimental data. Bounds on the unparticle energy scale $\Lambda_\mathcal{U}$ as a function of the scaling dimension $d_\mathcal{U}$ and the coupling constant $\lambda$ are derived. We show that there exists a parameter region where bounds on $\Lambda_\mathcal{U}$ are stringent, signalling that unparticles could be tested in atomic physics experiments.