Existence and Born-Oppenheimer asymptotics of the total scattering cross-section in ion-atom collisions.
Résumé
We prove the finitness of the total scattering cross-section for ion-atom collisions with an initial channel given by a simple eigenvalue of the internal Hamiltonian describing the neutral cluster, i.e. the atom. Under more restrictive assumptions, we show that some effective interaction in the Born-Oppenheimer approximation is precisely of order O(|x|^{-4}) in the distance between the mass centers of the two clusters. We then extract the leading term of the scattering cross-section in the Born-Oppenheimer limit.
Paper published in: "Long time behaviour of classical and quantum systems", proceedings of the
Bologna AP-TEX international conference,
sept. 1999, edité par A. Martinez et S. Graffi.
Domaines
Physique mathématique [math-ph]
Origine : Fichiers produits par l'(les) auteur(s)