Abstract

Nucleosynthesis in the Universe with isothermal baryon-density fluctuations is investigated. It is shown that neutron diffusion during nucleosynthesis plays an important role. Systematic calculations in the wide ranges of parameters suggest that ${\ensuremath{\Omega}}_{B}$=1 is marginally consistent with the light-element abundances (D, $^{3}\mathrm{He}$, $^{4}\mathrm{He}$, $^{7}\mathrm{Li}$) if the Hubble constant is as small as ${H}_{0}$=45 km ${\mathrm{Mpc}}^{\mathrm{\ensuremath{-}}1}$${\mathrm{sec}}^{\mathrm{\ensuremath{-}}1}$ or the mean lifetime of neutrons is shorter than 860 sec. Moreover it is found that the abundances of CNO elements in the low-density and neutron-rich region are very small.

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