An Algebraic Approach to the Collinear Collision N2 + N2 in the Semiclassical Approximation

An algebraic model to describe the collinear inelastic collision N-2 + N-2 in the semiclassical approximation is presented. The interactions for the diatomic systems are modeled in terms of Morse potentials, whereas an exponential function is taken for the interactions between the nearest atoms of the diatomic systems. This problem is treated in the interaction picture, where an approximation of the interaction potential in terms of the generators of three SU(2) groups is proposed, two corresponding to the Morse oscillators and the third one to the interaction. The transition probabilities are given in terms of a sum of products of three Wigner's d(beta) functions corresponding to the three SU(2) groups. Our results are compared with exact quantum mechanical calculations. (C) 2010 Wiley Periodicals, Inc. Int J Quantum Chem 112: 16-27, 2012