Balancing Asymmetric Dark Matter with Baryon Asymmetry by Sphaleron Transitions ^†

The effect of the electroweak sphaleron transition in balance between baryon excess and and the excess of stable quarks of 4th generation is studied in this paper. Considering the non-violation of $SU\left(2\right)$ symmetry and the conservation of electroweak and new charges and quantum numbers of the new family, it makes possible sphaleron transitions between baryons, leptons and 4th family of leptons and quarks. In this paper, we have tried to established a possible definite relationship between the value and sign of the 4th family excess relative to baryon asymmetry. If U-type quarks are the lightest quarks of the 4th family and sphaleron transitions provide excessive $\overline{U}$ antiquarks, asymmetric dark matter in the form of dark atom bound state of ($\overline{U}\overline{U}\overline{U}$) with primordial He nuclei is balanced with baryon asymmetry.