Scenario of baryogenesis

Scenario of baryogenesis is considered in which primordial plasma starting from the Planck scale consists of primordial particles being the precursors of electrons and clusters of particles being the precursors of protons. Equilibrium between the precursors of protons and the precursors of electrons is defined by the proton-electron mass difference. At the temperature equal to the mass of electron, primordial particles transit into protons, electrons, photons. Standard scenario of baryogenesis occurs as follows [1]. In the thermodynamically equilibrium primordial plasma, all the particles with m ≤ T exist in equal abundances per spin degree of freedom. This means that, at T > mp, there exist approximately equal abundances of protons p and antiprotons p̄. Excess of baryonic charge arises in the processes of X, Ybosons decays under the following conditions: non-conservation of the baryonic charge and CP-violation. At T < mp, pp̄ annihilate, with the excess of p survives. Let us consider another scenario of baryogenesis in which primordial plasma starting from the Planck scale T = mP l consists of primordial fermions. At T = me, primordial fermions transit into protons, electrons, photons. Let us assume that primordial plasma consists of primordial fermions which have only spin quantum number. That is primordial plasma consists of primordial fermions with the spin up ↑ and down ↓. Then the sequence of transformations ↑↓↑↓↑ transits the particle into itself. Let us identify simple particle ↑ with the precursor of electron and the cluster of particles ↑↓↑↓↑ with the precursor of proton. The probability of finding such a cluster is given by w = ( 1 2 )5 . (1) Equilibrium between the precursors of protons and the precursors of electrons is defined by the proton-electron mass difference. The proton-electron ratio is given by