Constraining Born-Infeld-like Nonlinear Electrodynamics Using Hydrogen's Ionization Energy

P. Niau Akmansoy; L. G. Medeiros

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arXiv · 1712.05486

Constraining Born-Infeld-like Nonlinear Electrodynamics Using Hydrogen's Ionization Energy

P. Niau Akmansoy·L. G. Medeiros

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Abstract

In this work, the hydrogen's ionization energy was used to constrain the free parameter $b$ of three Born-Infeld-like electrodynamics namely Born-Infeld itself, Logarithmic electrodynamics and Exponential electrodynamics. An analytical methodology capable of calculating the hydrogen ground state energy level correction for a generic nonlinear electrodynamics was developed. Using the experimental uncertainty in the ground state energy of the hydrogen atom, the bound $b>5.37\times10^{20}K\frac{V}{m}$, where $K=2$, $4\sqrt{2}/3$ and $\sqrt{\pi}$ for the Born-Infeld, Logarithmic and Exponential electrodynamics respectively, was established. In the particular case of Born-Infeld electrodynamics, the constraint found for $b$ was compared with other constraints present in the literature.

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P. Niau Akmansoy, L. G. Medeiros. 2017-12-15. Constraining Born-Infeld-like Nonlinear Electrodynamics Using Hydrogen's Ionization Energy. https://arxiv.org/abs/1712.05486

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