Unparticle contribution to the hydrogen atom ground state energy

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-Schrödinger 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.

11 pages, 3 figures

References in corpus (18)

• Unparticle Physics
• Another Odd Thing About Unparticle Physics
• Collider signals in unparticle physics
• Comments on Unparticles
• Collider Phenomenology of Unparticle Physics
• Bounds on Unparticles from the Higgs Sector
• Constraining Unparticle Physics with Cosmology and Astrophysics
• Bounds on Unparticles Couplings to Electrons: from Electron g-2 to Positronium Decays
• Scalar modifications to gravity from unparticle effects may be testable
• Long range forces and limits on unparticle interactions
• Un-graviton corrections to the Schwarzschild black hole
• Un-spectral dimension and quantum spacetime phases
• Un-particle Effective Action
• Test of unparticle long range forces from perihelion precession of Mercury
• Differentiating unparticles from extra dimensions via mini black hole thermodynamics
• Bounds from LEP on unparticle interactions with electroweak bosons
• Unparticle mediated superconductivity
• Unparticle-Enhanced Black Holes at the LHC

Cited by in corpus (4)

• Finite electrodynamics from T-duality
• Scalar Unparticle Signals at the LHC
• Constraining unparticle physics from $CP$ violation in Cabibbo-favored decays of D mesons
• On planetary orbits, ungravity and entropic gravity