Two-Polaron Solution and Its Stability in the Continuum Model of Polyacetylene

Explicit two-polaron solution is found in the continuum model of trans -polyacetylene. The solution is explored to examine stability of two polarons. It is found that two free polarons attract each other with a long range force until they form a single polaron with two carriers therein, which then dissociates into charged kink-antikink pair owing to a short range repulsion. Thus the reaction mechanism of two polarons into two charged kinks is clarified.