Effects of power law primordial magnetic field on big bang nucleosynthesis

Abstract

Big bang nucleosynthesis (BBN) is affected by the energy density of a primordial magnetic field (PMF). For an easy derivation of constraints on models for PMF generations, we assume a PMF with a power law (PL) distribution in wave number defined with a field strength, a PL index, and maximum and minimum scales at a generation epoch. We then show a relation between PL-PMF parameters and the scale invariant (SI) strength of PMF for the first time. We perform a BBN calculation including PMF effects, and show abundances as a function of baryon to photon ratio $\eta$. The SI strength of the PMF is constrained from observational constraints on abundances of ${}^4$He and D. The minimum abundance of ${}^7$Li/H as a function of $\eta$ slightly moves to a higher ${}^7$Li/H value at a larger $\eta$ value when a PMF exists during BBN. We then discuss degeneracies between the PL-PMF parameters in the PMF effect. In addition, we assume a general case in which both the existence and the dissipation of PMF are possible. It is then found that an upper limit on the SI strength of the PMF can be derived from a constraint on ${}^4$He abundance, and that a lower limit on the allowed ${}^7$Li abundance is significantly higher than those observed in metal-poor stars.

15 pages, 5 figures, accepted for PRD 26 Oct 2012, published 10 December 2012

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Cited by in corpus (9)

• Constraints on Primordial Magnetic Fields from Planck combined with the South Pole Telescope CMB B-mode polarization measurements
• Cosmic Magnetism in Centimeter and Meter Wavelength Radio Astronomy
• Evolution of primordial magnetic fields during large-scale structure formation
• Cosmological solutions to the Lithium problem: Big-bang nucleosynthesis with photon cooling, $X$-particle decay and a primordial magnetic field
• Limits on primordial magnetic fields from primordial black hole abundance
• CMB with the background primordial magnetic field
• Screening corrections to Electron Capture Rates and resulting constraints on Primordial Magnetic Fields
• Imprints of primordial magnetic fields on intrinsic alignments of galaxies
• Power spectrum of post-inflationary primordial magnetic fields