Acceleration of low energy nuclear reactions by formation of correlated states of interacting particles in dynamical systems

Highlights: • Essential acceleration of low energy nuclear reactions through correlated states of interacting particles is considered. • A giant increase of barrier penetrability under critical conditions (low energy, high barrier) is provided. • The increased barrier penetrability in c. states is related to the general uncertainty relation by Robertson–Schrödinger. • A very sharp growth (up to a factor of 10³⁰–10¹⁰⁰ and more!) of Coulomb barrier penetrability is possible. - Abstract: In this work the most universal mechanism of essential acceleration of low energy nuclear reactions on the basis of correlated states of interacting particles is considered. This mechanism provides a giant increase of barrier penetrability under critical conditions (low energy, high barrier), where the effectiveness of “ordinary” tunneling effects is negligibly small, and can be applied to different experiments. The physical reason of an increased barrier penetrability in correlated states is connected to the modified uncertainty relation σ_pσ_q⩾ℏ²/4(1-r_pq²) for correlated states and to the increase in momentum σ_p and position σ_q variances with increasing of correlation coefficient r_pq. We have considered preconditions and methods of formation of correlated coherent states of interacting nuclei in non-stationary dynamical systems. It was shown that in real nuclear-physical systems at r_pq²→1 very sharp growth (up to a factor of 10³⁰–10¹⁰⁰ and more!) of Coulomb barrier penetrability at very low energy of interacting particles is possible. Several successful low-energy correlated-induced fusion experiments are discussed