https://doi.org/10.1140/epjc/s10052-018-5643-1
Regular Article - Theoretical Physics
Constraining Born–Infeld-like nonlinear electrodynamics using hydrogen’s ionization energy
1
Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Campus Universitário, s/n-Lagoa Nova, Natal, CEP 59072-970, Brazil
2
Instituto de Física Teórica, Universidade Estadual Paulista, Rua Bento Teobaldo Ferraz 271 Bloco II, P.O. Box 70532-2, São Paulo, SP, CEP 01156-970, Brazil
3
Escola de Ciência e Tecnologia, Universidade Federal do Rio Grande do Norte, Campus Universitário, s/n-Lagoa Nova, Natal, RN, CEP 59078-970, Brazil
* e-mail: leogmedeiros@ect.ufrn.br
Received:
27
December
2017
Accepted:
10
February
2018
Published online:
20
February
2018
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 
, where 
, 
and 
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.
© The Author(s), 2018
