Diffusion coefficients and constraints on hadronic inhomogeneities in
  the early universe
  Hadronic inhomogeneities are formed after the quark hadron phase transition.
The nature of the phase transition dictates the nature of the inhomogeneities
formed. Recently some scenarios of inhomogeneities have been discussed where
the strange quarks are in excess over the up and down quarks. The hadronization
of these quarks will give rise to a large density of hyperons and kaons in
addition to the protons and neutrons which are formed after the phase
transition. These unstable hyperons decay into pions, muons and their
respective neutrinos. Hence the plasma during this period consists of neutrons,
protons, electrons, muons and neutrinos. Due to the decay of the hyperons, the
muon component of the inhomogeneities will be very high. We study the diffusion
of neutrons and protons in the presence of a large number of muons immediately
after the quark hadron phase transition. We find that the presence of the muons
enhances the diffusion coefficient of the neutrons/protons. As the diffusion
coefficient is enhanced, the inhomogeneities will decay faster in the regions
where the muon density is higher. Hence smaller muon rich inhomogeneities will
be completely wiped out. The decay of the hyperons will also generate muon
neutrinos. Since the big bang nucleosynthesis provides constraints on the
neutrino degeneracies, we revisit the effect of non zero degeneracies on the
primordial elements.
