The time evolution of the baryon asymmetry (knBs) due to the interactions of a superheavy gauge boson (mass MX∼1015 GeV, coupling strength α∼145) is obtained by numerically integrating the Boltzmann equations. Particle interactions in the very early universe (t10-35 sec) are assumed to be described by the SU(5) grand unification theory. To a good approximation the results depend upon one parameter, K2.9×1017 α GeVMX. If C and CP are not violated in the decays of the superheavy boson no asymmetry develops, and any initial baryon asymmetry is reduced by a factor of ≅exp(-5.5K). If both C and CP are violated then an initially symmetrical universe evolves a baryon asymmetry which today corresponds to knBs≅7.8×10-3ε[1+(16K)1.3], where ε2 is the baryon excess produced when an X-X̄ pair decays. Decays and inverse decays of superheavy bosons are primarily responsible for these results (as Weinberg and Wilczek suggested); however for K1 baryon production falls off much less rapidly than they had expected. A gauge boson of mass 3×1014 GeV could have generated the observed asymmetry knBs≅10-9.8±1.6 if ε≅10-4.3±1.6. In a companion paper the role of Higgs bosons is considered.
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