Einstein's coefficients recoil effect

[zb23]

What would happen with Einstein's coefficients if we wouldn't neglect the recoil effects?

 

[Astronuc]

What would happen with Einstein's coefficients if we wouldn't neglect the recoil effects?

Assuming that Einstein's coefficients are basically probabilities of absorption or emission of light by an atom or molecule, would recoil influence those probabilities?

Robert Hilborn, Einstein coefficients, cross sections, f values, dipole moments, and all that
https://arxiv.org/abs/physics/0202029