# Classical Scattering Formalism

1. Jul 20, 2015

### decerto

So the standard way to introduce scattering classically is through the two body problem for a central force where we move to the centre of mass reference frame and all the dynamics is explained by a one body problem for the separation vector $r_{12}=r_1-r_2$ with a reduced mass $\mu=\frac{m_1 m_2}{m_1+m_2}$

However then the cross sectional area is introduced by talking about a beam of particles incident on a target with a central potential V(r).

So my question is about relating these two ideas, if we want to calculate the cross sectional area for two bodies scattering off of each other is our beam of particles really a beam of pseudo particles with mass $\mu$ and position vector $r_{12}$ or am I misunderstanding something?

2. Jul 25, 2015