We reanalyze the allowed parameters for inhomogeneous big bang nucleosynthesis in light of the WMAP constraints on the baryon-to-photon ratio η and a recent measurement which has set the neutron lifetime to be 878.5 ± 0.7 ± 0.3 seconds. For a set baryon-to-photon ratio η the new lifetime reduces the mass fraction of 4 He by 0.0015 but does not significantly change the abundances of other isotopes. This enlarges the region of concordance between 4 He and deuterium in the parameter space of η and the IBBN distance scale r i . The 7 Li abundance can be brought into concordance with observed 4 He and deuterium abundances by using depletion factors as high as 9.3. The WMAP constraints, however, severely limit the allowed comoving (T = 100 GK) inhomogeneity distance scale to r i ≈ (1.3 − 2.6) × 10 5 cm. Big bang nucleosynthesis (BBN) plays a crucial role in constraining our views on the universe. It is essentially the only probe of physics in the early radiation dominated epoch during the interval from ∼ 1−10 4 sec. Moreover, big bang cosmology is currently undergoing rapid evolution based upon high precision determinations of cosmological parameters and improved input physics. Thus, it is important to scrutinize all possible variants of BBN and understand the constraints which modern observations place upon their parameters. This paper summarizes the current status on one such important variant of the big bang, namely one in which the baryons are spatially inhomogeneously distributed during the epoch of nucleosynthesis. We consider the constraints from WMAP and the latest observed elemental abundances and include recent measurements of thermonuclear reaction rates and the neutron lifetime. We show, that although the parameter space for inhomogeneous big bang nucleosynthesis (IBBN) is significantly limited, interesting regions remain and this paradigm continues to be a viable possibility for the early universe.
II. BACKGROUNDAt a high temperature in the early universe, e.g. T ∼ 100 GK (the corresponding age of the universe is ∼ 0.01 seconds) baryons mainly exist in the form of free neutrons and protons.During this epoch neutrons and protons are rapidly interconverted via the following weak reactions [1,2,3] n + ν e ↔ p + e − n + e + ↔ p +ν e n ↔ p + e − +ν e .As long as these reactions are in thermal equilibrium the ratio of neutrons to protons is given by (n/p) = exp[−∆m/kT ] where ∆m is the mass difference between neutrons and protons. When the universe cools to a temperature T = 13 GK these weak reactions fall out of equilibrium. The n/p ratio after that time decreases only due to neutron decay.When the universe cools to a temperature T ≈ 0.9 GK the nuclear reaction n + p ↔ d + γ falls out of nuclear statistical equilibrium. Deuterium production becomes significant, 3 leading to the synthesis of increasingly heavier nuclei through a network of nuclear reactions and weak decays. When nearly all free neutrons are incorporated into 4 He nuclei, 4 He production virtually stops. The final mass fraction can be ap...