This is a very nuanced and practical question. I am currently working on neutron dynamics and the rotational energy of a liquid drop nucleon. So far, only Regge theory proposes angular momentum having some scattering effect in quantum. The reactions usually use the before and after laboratory...
The deuterium tritium reaction produces an alpha particle and a neutron. The energy of the reaction becomes the kinetic energy of the products. Gamma rays do not seem to be produced.
I just started reading about holomorphic functions, maybe switch to complex coordinates and integrate around a contour. If you expand your Schrödinger equation correctly, then you should just see the wave function with a time evolution operator, like a decaying exponential tacked on the side...