Confused to see so much talk of Fleischmann and Pons. The technique described in the linked article appears to be essentially neutron-catalyzed fusion. This is not too different conceptually from muon-catalyzed fusion, except instead of muons lowering the reaction energy barrier, neutrons provide the activation energy. The cold fusion claims from the '80s used an electrical process, which is not believable for quantum reasons (electron density can't get high enough to pull protons together due to Pauli exclusion).

As to whether it works, who knows? It may have been conclusively disproven five years ago for all I know. Or maybe it works. But if they're generating neutrons through X-ray bremsstrahlung, that's horribly inefficient and unlikely to ever come close to net power.