The Existence Regions for Transcomplex Recombination of Heavy Ions. Opacity Functions and Complexity Functions

Within the framework of the quasiclassical trajectory method on semiempirical diabatic potential energy surfaces, we have considered the existence regions for transcomplex recombination RCs + Br → CsBr + R (R = Kr, Xe, Hg) in the space of kinematic parameters for collision energies from 0.1 to 2.5 eV. In contrast to the existence regions for direct three-body recombination Cs + Br + R → CsBr + R (R = Kr, Xe, Hg) we studied in previous works, the existence regions for transcomplex recombination at low collision energies (up to 0.3 eV) sometimes exhibit chaotic structure. We have proposed a quantitative measure of chaoticity of an existence region for transcomplex recombination based on the combinatorics of binary matrices (all the entries of which are equal to zero or one). The local minima of the opacity functions of transcomplex recombination at low collision energies are formed precisely due to chaotization of the existence regions for recombination.