Cross Section for Energy Transfer between Two Moving Particles
Abstract
The classical cross section σ_{∆E}, for producing a specified energy transfer ∆E in the collision of two particles 1,2 having arbitrary masses and velocities v_{1},v_{2} in the laboratory system, is derived. The effective average (for fixed speeds v_{1},v_{2}) of σ_{∆E} over all directions of the particle velocities v_{1} and/or v_{2} is then computed. These results are required in the classical calculations of atomiccollision cross sections via the procedures recently proposed by Gryzinski. The method will yield the average of any function F(v,V,θ) over all directions of the particle velocities, where v=v_{1}v_{2}, V is the velocity of the center of mass, and θ is the angle between v and V.
 Publication:

Physical Review
 Pub Date:
 August 1966
 DOI:
 10.1103/PhysRev.148.54
 Bibcode:
 1966PhRv..148...54G