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

H. Belich·T. Costa-Soares·M. M. Ferreira Jr.·J. A. Helayel-Neto·F. M. O. Mouchereck
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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.

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H. Belich, T. Costa-Soares, M. M. Ferreira Jr., J. A. Helayel-Neto, F. M. O. Mouchereck. 2006-04-20. Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling. https://doi.org/10.1103/physrevd.74.065009

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