Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling

Abstract

The influence of a Lorentz-violating fixed background on fermions is considered by means of a torsion-free non-minimal coupling. The non-relativistic regime is assessed and the Lorentz-violating Hamiltonian is determined. The effect of this Hamiltonian on the hydrogen spectrum is determined to first-order evaluation (in the absence of external magnetic field), revealing that there appear some energy shifts that modify the fine structure of the spectrum. In the case the non-minimal coupling is torsion-like, no first order correction shows up in the absence of an external field; in the presence of an external field, a secondary Zeeman effect is implied. Such effects are then used to set up stringent bounds on the parameters of the model.

7 pages, revtex style, no figures

References in corpus (3)

• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment
• Compton Scattering in the Presence of Lorentz and CPT Violation
• Lorentz Violation and Synchrotron Radiation

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• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• N=1 Supersymetric Quantum Mechanics in a Scenario with Lorentz-Symmetry Violation
• Influence of Lorentz-violating terms on a two-level system
• UV/IR Mixing and Black Hole Thermodynamics