Neutron Diffusion and Nucleosynthesis in an Inhomogeneous Big Bang Model

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This talk describes the evolution of a model of the universe with an inhomogeneous baryon distribution during the epoch of nucleosynthesis. This model envisions the universe as a lattice of spheres, with each sphere having a radius ri called the distance scale. A sphere has a core and 63 spherical shells, the innermost shells having a high baryon number density and the outer shells having a low baryon number density. The model's run starts at a high temperature of 100 GK. Neutrons diffuse from the inner shells to the outer shells until the neutron number density is the same everywhere. Then around 0.9 GK nucleosynthesis occurs, but somewhat earlier in the high density shells than the low density shells. Neutrons in the inner shells are then depleted to form ^4He and other nuclei and neutrons from the outer shells diffuse back into the inner shells. This talk will show how the value of ri determines how much neutrons can diffuse to the outer shells to the inner shells and then diffuse back, how the protons are affected by neutron diffusion, and ultimately how much of ^4He and other nuclei is produced.

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