Summary
An attempt is made to estimate the quark-to-nucleon ratio under the assumption that the reported fractional charges are the unmatched relic quarks which failed to find quark or the unstable diquark partners to form nucleons. The time development of the quark-to-nucleon number density ratio from the very early universe is obtained from a rate equation for the process. The cross-section for the quark-nucleon transition is assumed to be inversely proportional to the square of the momentum and reaches the maximum value of the proton size as the temperature decreases, due to the expansion of the universe. If the quark-nucleon transition starts at 3/2kTi - 0.4 GeV, the process practically ends at 3/2kT ≏0.2 GeV, and the quark-to-nucleon ratio is ~10-(20/21) with a quark rest mass of 0.001 GeV≲m0c2 ≲10 GeV.
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Yun, S.K. Time development of the free-quark-to-baryon ratio from the very early universe. Lett. Nuovo Cimento 33, 529–534 (1982). https://doi.org/10.1007/BF02817112
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DOI: https://doi.org/10.1007/BF02817112