Synthesis of elements in the big-bang universe with interaction between matter and radiation

Calculations of element production during the early stage in the big-bang models with interaction between matter and radiation are made. In the case of the existence of energy conversion from matter into radiation in the early Universe, the matter density is higher than that in the naive big-bang model by an amount which corresponds to the converted energy, provided that the present values of the matter density and the radiation temperature are given. The deuterium abundance produced in this case decreases rapidly in order to build up the heavier elements. In the other case, when radiation is converted into matter, the matter density is lower, yielding a greater deuterium abundance. If we make a suitable choice for the rate of energy conversion and the present matter density, significant quantities of 2H, 3He, 4He and 7Li can be produced in such models; X(2H)=(2.2-3.0)x10-5, X(3He) asymptotically equals 1.6x10-5, X(4He) asymptotically equals 0.24 and X(7Li)=(1.5-2.0)x10-9 by mass. (auth.)