A Combinatoric Analysis of Baryon Antibaryon Segregation Following the Quark Hadron Transition

Mathematics – Probability

Scientific paper

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Scientific paper

It is conventionally held that if matter-antimatter symmetry had survived the quark-hadron transition the universe would not have survived baryon-antibaryon mass-extinction at freeze-out. By resorting to fluctuation or turbulence models to cause baryon-antibaryon segregation investigators have attempted to circumvent this extinction problem but to no avail. Only by assuming baryon asymmetry prior to the quark-hadron transition would it be possible for the present universe to survive freeze-out. This assumption however has introduced a myriad of problems, primarily concerning GUT:SU(5), which have not been resolved. Consider now an alternative approach. By a combinatoric analysis it is shown that the uniform spatial distribution of baryons and antibaryons required for extinction following freeze-out is a most improbable state. Rather the probability approaches unity for intrinsic baryon and antibaryon cluster formation. This combinatoric clustering emphatically does not depend on any fluctuation assumptions. The possibility of these baryon and antibaryon clusters surviving nucleosynthesis is discussed.

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