The spatial $N$-centre problem: scattering at positive energies

A. Boscaggin, A. Bottois, W. Dambrosio

For the spatial generalized $N$-centre problem $$ \ddot{x} = -\sum_{i=1}^{N} \frac{m_i (x - c_i)}{\vert x - c_i \vert^{α+2}},\qquad x \in \mathbb{R}^3 \setminus \{c_1,\dots,c_N \},…