Heavy particle transfer and the Langevin orbiting theory

2 HEAVY PARTICLE TRANSFER AND THE LANGEVIN ORBITING THEORY 

Heavy particle transfer reactions involve an exchange of an atom or a group of atoms, both neutral and charged, between the reactant ion and 

In their model, it is assumed that the ion can be looked upon as a point charge and the interaction potential V r) between the ion and the neutral species is that of a point charge and an induced dipole, i.e. the inverse-fourth-power potential 

Solving the equation of motion classically with effective potential 

r and 6 are plane polar coordinates of the projectile referred to the target at the origin, and p is the reduced mass. L is the angular momentum about the centre of mass and the second term in eqn. (50) is, of course, the centrifugal potential. 

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