Luminescence and excitation spectra of the highly luminescent stacking dimers of adenine and uracil in water solutions are studied. By the luminescence excitation spectra method it is shown that the stacking aggregates of adenine and uracil are formed with participation of rare forms of monomer molecules: N7H tautomers of adenine and the uracil molecules in rare forms of hydratation, for example molecules without H-bonds with water. The study of temperature dependence of luminescence intensity of monomers and stacking dimers of uracil has shown that stacking dimers do not dissociate even at 85 degrees C similarly as described earlier for adenine and adenosine. Stable stacking aggregates of nucleic bases are most likely to be the precursors of RNA molecules in chemical evolution. This hypothesis is supported by new data on their stability.