Microscopic calculation of bremsstrahlung emission inHe3+α collisions

The bremsstrahlung emission cross section from ${}_{}{}^3{}_{}{}^{}\mathrm{He}$+α collisions has been calculated and is found to compare quite satisfactorily with the experimental result. To describe the scattering system, we use the single-channel resonating-group wave functions which reproduce the essential characteristics, especially in the energy region including the important ${}_{}{}^2{}_{}{}^{}$F resonances. The photon-emission operator used is translationally invariant and the center-of-mass motion is strictly eliminated from the transition amplitude. The multipole component of this amplitude is written in closed form without invoking the long-wavelength approximation. These formulas can be used immediately for bremsstrahlung emission and other electromagnetic transitions in other light nuclear systems.