Heidi T. answered 08/30/19
MS in Mathematics, PhD in Physics, 7+ years teaching experience
This is a good question. I'm not sure that anyone really knows the answer to this for sure. However, I think that it is really an energy problem. Nuclei want to be in the lowest energy configuration. The greater the difference between the masses of the components (protons/neutrons) and the nuclear mass, the greater the binding energy of the nucleus. Greater binding energy implies higher stability.
If you do the math, I think you will find that the helium nuclei is more stable than deuterium, and emitting only a proton (hydrogen nucleus) would make the parent nucleus even more unstable. Remember, there is a "line of stability" giving the ratio of protons to neutrons for stable nuclei, a helium nucleus will keep closer to this line.