Chemical separation of primordial Li${}^{+}$ during structure formation caused by nanogauss magnetic field

Abstract

During the structure formation, charged and neutral chemical species may have separated from each other at the gravitational contraction in primordial magnetic field (PMF). A gradient in the PMF in a direction perpendicular to the field direction leads to the Lorentz force on the charged species. Resultantly, an ambipolar diffusion occurs, and charged species can move differently from neutral species, which collapses gravitationally during the structure formation. We assume a gravitational contraction of neutral matter in a spherically symmetric structure, and calculate fluid motions of charged and neutral species. It is shown that the charged fluid, i.e., proton, electron and ${}^7$Li${}^{+}$, can significantly decouple from the neutral fluid depending on the field amplitude. The charged species can, therefore, escape from the gravitational collapse. We take the structure mass, the epoch of the gravitational collapse, and the comoving Lorenz force as parameters. We then identify a parameter region for an effective chemical separation. This type of chemical separation can reduce the abundance ratio of Li/H in early structures because of inefficient contraction of ${}^7$Li${}^{+}$ ion. Therefore, it may explain Li abundances of Galactic metal-poor stars which are smaller than the prediction in standard big bang nucleosynthesis model. Amplitudes of the PMFs are controlled by a magneto-hydrodynamic turbulence. The upper limit on the field amplitude derived from the turbulence effect is close to the value required for the chemical separation.

30 pages, 14 figures, manuscript emended, errors fixed, conclusion qualitatively unchanged, accepted for publication in MNRAS

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Cited by in corpus (7)

• Review on Effects of Long-lived Negatively Charged Massive Particles on Big Bang Nucleosynthesis
• The Lithium Abundances from the Large Sky Area Multi-object Fiber Spectroscopic Telescope Medium-resolution Survey. I. The Method
• Ionization degree and magnetic diffusivity in the primordial star-forming clouds
• Initial Li Abundances in the Protogalaxy and Globular Clusters Based upon the Chemical Separation and Hierarchical Structure Formation
• Effect of Magnetic Field Dissipation on Primordial Li Abundance
• Distribution function of nuclei from $e^{\pm }$ scattering in the presence of a strong primordial magnetic field
• Does inhomogeneous big bang nucleosynthesis produce an inhomogeneous element distribution today?