Radiation Catastrophe

Computer Science

Scientific paper

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Scientific paper

IN the big-bang cosmologies the universe initially consists of almost equal quantities of matter and antimatter. This is true even in the cold models1 if the temperature of the primordial fireball is limited to the ``hadronic boiling-point'' of Hagedorn's theory2. From the present densities of matter and radiation it is possible to estimate the difference in the quantities of matter and antimatter in the early universe3-5. If nγ is the number of photons per unit volume of the 3 K background radiation and b 0 is the observed average number of nucleons per unit volume, it is found that Also, if b + and b - are the baryon and antibaryon densities, b = b ++b - is the total baryon density, and Δb = b +-b -1 is the baryon number (or baryon charge) density, then in the very early universe one finds The baryon charge asymmetry Δb/b may be either uniform or space varying. As the universe expands, the baryon and antibaryon populations annihilate and eventually Δb/b-->+/-1. This annihilation is almost complete by the time the universe is 10-3 s old and the temperature has dropped below Tπ = mπc2/k ~=1012 K, where mπ is the pion mass. The energy initially in the form of hadrons is inherited by the leptons and photons.

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