Fermion scattering in a Bose-Einstein condensate
This work investigates how fermions propagate within a background of a scalar Bose-Einstein condensate using Yukawa-type interactions. It derives concise formulas for fermion spinors and propagators, which are essential for calculating scattering rates involving these fermions. The analysis reveals unique kinematic features due to helicity-dependent dispersion relations, leading to potential singularities relevant in condensed matter systems.