As the nature of condensed matter is the ordering/constraint dynamic conditions on confining particles of deuterons, protons and electrons in electromagnetically induced dynamic trapping potentials, D(H)-cluster formation and its transient motion has been thought as a clue to solve the puzzle of cold fusion. We may call it the transitory BEC (transitory Bose-Einstein condensation).

The multi-body fusion and TSC theory has been proposed and elaborated since April 1989 by the author in three main steps. The most realistic solution with quantitative results of microscopic D(H)-cluster fusion rates have been obtained in 2010s (step-3) by using the QM-Langevin equation method for studying their dynamic condensation processes and relevant strong and/or weak nuclear interactions as a many-body system. The conventional two-body system has not been able to provide meaningfully observable nuclear reaction rates, in contrast to the hot fusion process.

The simultaneous multi-body fusion of the four deuterons results in two ⁴He for the reaction by-products. Similarly, the simultaneous multi-body fusion of the four protons plus an electron, a process which involves both the strong and weak interactions, results in either ³He or deuterium. The four D simultaneous fusion (⁴He: ash) and the four H simultaneous weak-strong fusion (³He, d: ash) are the consequence of the TSC theory that the author has developed until now. Our excess heat generation patterns by Ni-based nano-composite powder plus H (or D) gas have given strong support to the TSC theory mechanisms.

Sources

(PDF) Summary report of lectures on TSC theory (researchgate.net)
(PDF) Physics of Cold Fusion by TSC Theory full paper (researchgate.net)
(PDF) Nuclear Products of Cold Fusion by TSC Theory (researchgate.net)
(PDF) MHE nuclear-like thermal power generation and guiding TSC theory (researchgate.net)