Constraining Born–Infeld-like nonlinear electrodynamics using hydrogen’s ionization energy

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2018-02, Vol.78 (2), p.1-9, Article 143
• Main Authors: Akmansoy, P. Niau, Medeiros, L. G.
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Comparative analysis; Electrodynamics; Elementary Particles; Energy consumption; Energy levels; Ground state; Hadrons; Heavy Ions; Hydrogen; Hydrogen-based energy; Ionization; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; String Theory
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-018-5643-1

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 × 10 20 K V m , where K = 2 , 4 2 / 3 and π 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.