Almost-standard big-bang nucleosynthesis with ΩBh02>>0.015: A reexamination of neutrino chemical potentials and ΔG

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Origin, Formation, And Abundances Of The Elements, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

The homogeneous standard big-bang nucleosynthesis (SBBN) yields of D, 3He, 4He, and 7Li are computed allowing independent variations of μ1, the chemical potential for electron neutrinos, and μ2, the chemical potential of μ neutrinos (or equivalently of GgR, the product of Newton's constant and the number of effective relativistic degrees of freedom at the epoch of nucleosynthesis). This follows up previous investigations of chemical-potential variations, which however considered only [7Li]/[H]~=10-9. It is found that even with a primordial 7Li abundance of 10-10 the hydrogen abundance ΩBh20~0.1 is permitted as is ΩBh20~1 however, the required chemical potential for the νe is μ1~=T. The required chemical potential for νμ and/or ντ is μ2~=(5-25)T (for ΩBh20~=0.1 and 1, respectively), or equivalently (GgR)~=(few-103)(GgR)SBBN. Thus baryonic dark matter may be incorporated into the standard big-bang nucleosynthesis model albeit with dramatic requirements for lepto-genesis and/or the constancy of the gravitational coupling. It is also found that the ``lithium dip'' tracks the primordial deuterium abundance and thus may not be an independent measure of the parameters of the SBBN model.

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