A particle with kinetic energy T is deflected by a spherical potential well of radius R and

Question:

A particle with kinetic energy T is deflected by a spherical potential well of radius R and depth U0, i.e. by the field in which the potential energy of the particle takes the form where r is the distance from the centre of the

0 for r> R, -U, for r <R,

will. Find the relationship between the aiming parameter b of the particle and the angle θ through which it deflects from the initial motion direction.