Quantum Many-Body Theory of Low Energy Nuclear Reaction Induced by Acoustic Cavitation in Deuterated Liquid

There have been a number of reports of observation of nuclear fusion events in acoustic cavitation experiments with deuterated liquid. Some of the reported results have been interpreted as a result of achieving thermonuclear fusion temperatures (~a few keV) during acoustic bubble cavitation (ABC). We propose an alternative theoretical model for the ABC fusion based on Bose-Einstein condensation (BEC) mechanism. Our theoretical model yields two main predictions. The first prediction is that the Coulomb interaction between two charged bosons is suppressed for the case in which number N of charged bosons is large, and hence the conventional Gamow factor is absent. The second prediction is that the fusion rate depends on the probability of the BEC ground state occupation instead of the conventional Gamow factor. This implies that the fusion rate will increase as the temperature of the system is lowered since the probability of the BEC state is larger at lower temperatures. These predictions imply that the ABC fusion may be achievable at lower temperatures. A number of key improvement to acoustic cavitation experiments are proposed to check these predictions as well as the results of other experiments.