Screening corrections to electron capture rates and resulting constraints on primordial magnetic fields

We explore screening effects arising from a relativistic magnetized plasma with applications to big bang nucleosynthesis (BBN). The screening potential which depends on the thermodynamics of charged particles in the plasma is altered by the magnetic field. We focus on the impact of screening on the electron capture interaction. Taking into account the correction in BBN arising from a homogeneous primordial magnetic field (PMF), we constrain the epoch at which the PMF was generated and its strength during BBN. Considering such screening corrections to the electron capture rates and using up-to-date observations of primordial elemental abundances, we also discuss the possibility of solving the problem of underestimation of the deuterium abundance. We find for certain values of the PMF strength predicted D and He-4 abundances are both consistent with the observational constraints.