Recently I found out that Hydrogen-1 and Boron-11 together are considered a viable nuclear fuel. Fusion of Hydrogen-1 and Boron-11 produces three highly energetic Helium-4 nuclei. Basically the entire amount of energy produced by the reaction is in form of alpha radiation, there is no gamma radiation and no high energy neutron output. The problem with H-B fusion is that the ignition temperature is very high, about 1 billion degrees.
It's unachievable with tokamaks, so researchers in the field develop other methods suitable for fusion of those two elements, most notably the "Dense Plasma Focus" device. This device as well as the other types however, are all basically versions of the hot fusion method. I was thinking isn't there an easier way?
Lets say we have a tubular container full of solid chemically pure Boron-11. Though an opening on one end of the tube the interior boron content is s bombarded by a beam of protons accelerated at about 100keV, so that the beam is directed along the tube's length for maximum impact. A beam of protons accelerated to 100keV can be achieved with a really small cyclotron.
My question is: Would that setup produce a continuous fusion for some period with positive net energy generation?
Here is my argument why I think it would: Since Boron is solid at room temperature, it's density is high, so I think the fusion rate per nucleon would be quite high. As far as I know 100keV is the energy needed for Hydrogen-1 and Boron-11 to fuse, while the resultant three He-4 nuclei should have about 8MeV of energy. So indeed if all accelerated protons fuse then the energy produced should be quite higher than the input. The problem that immediately comes to mind is that as the container starts to rapidly heat up as a result of the reactions the Boron inside would no longer be solid and may even start to leak through the opening. But before that happens, would there be at least a brief period where an efficient fusion can be sustained?