Exact Theory of Nonrelativistic Quadrupole Bremsstrahlung

Abstract The quantum mechanical treatment of quadrupole radiation due to bremsstrahlung exact all orders in the Coulomb interaction two nonrelativistically colliding charged spin-0 and unpolarized spin-1/2 particles is presented. We calculate elements tensor, present analytical solutions for double-differential photon emission cross section identical nonidentical particles. Contact made Born-level quasi-classical results respective kinematic limits effective energy loss rates are obtained. A generally valid formula soft-photon established an approximate across entire regime constructed. apply scattering pairs electrons hence relevant study astrophysical phenomena. definition a Gaunt factor proposed which should facilitate broad applicability results.