The Chesnavich Model for Ion-Molecule Reactions: A Rigid Body Coupled to a Particle
Gregory S. Ezra and Stephen Wiggins
International Journal of Bifurcation and Chaos, Vol. 29, No. 2 (2019) 1950025
DOI: 10.1142/S0218127419500251
In this paper, we present a derivation of Chesnavich’s Hamiltonian for a model ion-molecule reaction. The model system has the basic structure of a rigid body coupled to a structureless particle. Using the form of the potential energy of interaction given by Chesnavich, we derive the equilibria, determine their stability, and construct two, two-dimensional invariant manifolds and determine their stability.