You have to be careful with such titbits of information, as so much of it is either wish fulfilment by the military or the researchers that may or may not have done something!
I can't find much more that you've written Foxbat on the mechanism. My guess is that they believe they can trigger a much greater rate of beta decay that would then strike a compressed aluminium target which would then create a huge amount of Bremsstrahlung radiation. So that the beta particle - an electron of course - gets stopped dead by the aluminium and the energy lost gets converted into a X-ray.
Now in 1998, Carl Collins of the University of Texas at Dallas reported that they could trigger rapid energy releases via gamma-ray emission, basically 'forcing' a radioactive nuclei to stop emitting it's radiation randomly via it's natural half-life, but to trigger it as you wished instead. The Guardian reported on this as being a potential 'Gamma-ray bomb' or death ray here in 2003:
US military pioneers death ray bomb
However it appears - a bit like cold fusion - that no one has really been able to replicate the experiments. Hence this article in Wikipedia:
Hafnium controversy - Wikipedia
So....perhaps they still have a group of scientists who believe that such a mechanism could still work, but with radioactive materials that produce beta particles? Perhaps an aluminium shell with a core of said material and an explosive mechanism that both compresses these two elements and also initiate a surge in beta particle production that will be filtered through the compressing aluminium to produce X-rays? I guess that it would be 'cleaner' than a conventional nuke in that the amount of material used would likely be much less than even a small tactical bomb.
Anyway that's my initial guess on the bits and pieces reported on.